{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "import torch\n",
    "\n",
    "device = torch.device('cpu')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Augmented Neural ODEs\n",
    "This notebook contains example of how to train Neural ODEs and Augmented Neural ODEs and to visualize their differences. This includes differences in how they warp the input space, how they generalize and how their ODEs map inputs to features. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Create and visualize training data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from experiments.dataloaders import ConcentricSphere\n",
    "from torch.utils.data import DataLoader\n",
    "from viz.plots import single_feature_plt\n",
    "\n",
    "# Create training data in 2D, consisting of a concentric disk and an annulus\n",
    "data_dim = 2\n",
    "data_concentric = ConcentricSphere(data_dim, inner_range=(0., .5), outer_range=(1., 1.5), \n",
    "                                   num_points_inner=1000, num_points_outer=2000)\n",
    "dataloader = DataLoader(data_concentric, batch_size=64, shuffle=True)\n",
    "\n",
    "# Visualize a batch of data (use a large batch size for visualization)\n",
    "dataloader_viz = DataLoader(data_concentric, batch_size=256, shuffle=True)\n",
    "for inputs, targets in dataloader_viz:\n",
    "    break\n",
    "\n",
    "single_feature_plt(inputs, targets)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train a Neural ODE\n",
    "\n",
    "We can now train a Neural ODE on the dataloader we have just created."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Set up model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "from anode.models import ODENet\n",
    "from anode.training import Trainer\n",
    "\n",
    "hidden_dim = 32\n",
    "\n",
    "model = ODENet(device, data_dim, hidden_dim, time_dependent=True,\n",
    "               non_linearity='relu')\n",
    "\n",
    "optimizer = torch.optim.Adam(model.parameters(), lr=1e-3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.494\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.483\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.504\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.468\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.380\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.463\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.418\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.313\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.377\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.385\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.386\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.380\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.396\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.292\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.307\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.255\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.297\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.312\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.268\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.225\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.236\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.274\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.169\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.220\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.160\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.122\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.151\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.112\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.119\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.137\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.138\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.102\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.068\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.045\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.044\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.075\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.052\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.062\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.084\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.046\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.036\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "Epoch 1: 0.047\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.029\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.028\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.043\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.026\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.035\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "Epoch 1: 0.035\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.021\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.027\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.028\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.020\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.029\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "Epoch 1: 0.030\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.018\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.029\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.031\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.044\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.024\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "Epoch 1: 0.029\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.027\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.015\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.016\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.019\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.027\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "Epoch 1: 0.024\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.015\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.019\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.013\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.019\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.016\n",
      "NFE: 26\n",
      "BNFE: 0\n",
      "Total NFE: 26\n",
      "Epoch 1: 0.022\n"
     ]
    }
   ],
   "source": [
    "from viz.plots import get_feature_history\n",
    "\n",
    "# Set up trainer\n",
    "trainer = Trainer(model, optimizer, device)\n",
    "num_epochs = 12\n",
    "\n",
    "# Optionally record how the features evolve during training\n",
    "visualize_features = True\n",
    "\n",
    "if visualize_features:\n",
    "    feature_history = get_feature_history(trainer, dataloader, inputs,\n",
    "                                          targets, num_epochs)\n",
    "else:\n",
    "    # If we don't record feature evolution, simply train model\n",
    "    trainer.train(dataloader, num_epochs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualize feature evolution\n",
    "\n",
    "As can be seen, the model struggles to push the blue points out of the red circle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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xGB8zGGTPNI2NKysJXDo7+ff22/ELe3spOc3JEZk/P76vQUls3nuP+MXjsSJOezs2mZZmb3d04BuWlrIXm8OUDz7QDFhl5Bw6hO+WnGzvM+X1wSCHLUlJxBp+P48/c8Zm6CxYwEGLiX2nACrijAYnTqBKG6VahMUwsnRp4UIr9ogQrBw/zv9dLnrlXH45GTv//d+2R4QIQUl1Nb+joyN6pNqhQ2ziHR0ENp/5DOVZTU0stGvX6iQD5fzU1Ij8+tc24+a6684/ySw1lSy1hgbss7OTr5oa7LGlBZv/8Y9thoUI2Tx5eWSRLVxIH4CGBr6XlMQivHw5di2iDupU4OabyTDcvBnh0OtlI/f52Jxra1lPV6/GmVy/XuTaa8mIOHaM5zh5EttLTxf5kz9BCLz9dh5nHFFFMSxfbjP/gkEEnFmzOFU2PbpEWK8OHLC967ZupRdeWZltkKwol8rhw2Q9ZGdzABcK8eX3k4146hRrns+Hj/mrX5H1kJXFwd/evbpHKiOjvp79Mi8PGwsE7MCKUAifbHCQfdTt5lDO7cZuU1JYC03GrJb4KZdKYyMxgGkHMjjImmimkwaDiNuZmRzg9fbazMVAwPamnUKoiDMaJCWxkF12GQvgnj0Ym1ETs7NpuLl8OSd6DQ2c4olEl05t28b9wSCpYYaWFpTILVt4TiMUibCxDwzYICUri1Hi5+PkSRbdlhYW4Jtv1pPrqYrPJ/LUUzY7ZmBAZNMmygUqKlC5W1qifyayvCmyV5Ph9Gmc0LffjhZwRPh8fOMbfGbOnLECjghZZwcO2JLEqiqRG28ctZeqTGC+8Q1EvSefFPnwQ5uREwrZKWizZ7OBr1nD2rlhA8H36dPYodvN+tjba7MjjxxB1HHqMEYlgptuwia2baOXUmYmQcuTT5KVs3w5ByKvvcZ+2dPDPutyIVoXFZENpigjwaT+Fxcj1vT0YGOpqRyGdHcTsCQn20lqpm/JyZPqtykjp6CAAxSfD7vq6+OrtNQG02aYRUEBhyoeDz6c04mY7Xbj65l+dopyseTnIxD29hLLmnYN5eX4eb29tmdYejo22t3NwV9aGmvkFBMRVcQZDSID3awsAowzZzjBq6oiGyYlhceaST3PP28bD0fS1BTdG8Lg91tjbm+PLiOIfH6Dz0ew3NyMSLN4sRWM2tvpcxIIcLu6mjKtRx6JTmNTpgbV1UNFGBHElMpKprBt2kTmWHY2ZX1mMobJvmlrY/M3YmJeHjYbO3lNBLvr7cVmjQ0akpMJoGbOFLnnHu03MZVoamLNmjuX7Jq2NhzDYBAhp7+fDfvWW22WY16eyJe/TDaX38/atnu3bZJsxpXn5Ig89FBcX54yQQgEKI3avZtTu44O1pmSEiv0vfQSzRLPnMGWRPheZyfiTTjMz157bfxehzI5WL5c5HvfY23Ly8MWGxsJlo8eZR1zuwlOkpO5HQgQzITDTHKsrrbl+IpysaSmss4Zkcb0wklNxSZbWtiD09O5LxSygmI4bANqFXCUkdDaSlzQ18e/Js4NBFgXzQRbU33i8bAO9vbi+xUWsrf7/fiJUwAVcUYDp1PkU58is+XUKRa9P/qj6MlSsZSW2nHNgQCbdl8fAXJ/P89hGsAmJ3NKuHAhj1u5EucyEBC56ipKWiLx+0Uef5zHinDSuG8fwbjDQfptbPDc38+Jtda0Ti0CAXoyvfUWtjFtGs6g0xk9IejyyxFuZsywPSEOHhT53/8bccfrtU0X582j3KCoiM9AZKaNeb68PP5fXs6CHCv2XHmlCjhTja1bEWxcLta7tjbWsuJibGv6dNa7m2+O/jmnkzTuPXtY27q67EjowUHW0a1b+dk5c8b/dSkTi1dfZa/euZMTZL+fNWjaNDJmRejx4HazLnm92GV6OrbZ0ECJciBg+0coyqXS1IRwffo0tjY4yFdrK+ugz0fQ7PFYW3Q4WONKSrDdXbtUxFEunbo6fLymJtY0k13d0MD+mpLC7ZQU2yfM58NOOzttptgvf0nT4ynUWFYZRerrSTioryduFcHevF7rFzoc+IJJSayLSUk83kzPTUlh/54/nwSLSY6KOKNFVhaNvS6UlSupMz11ig24r4/sg8ZGgpD5863YsnAh37vjDlLNdu8mUF6xgmyfWPbtswKO4fhxTqRnzcLwh+Ns9yuTlyeeoMa+tpaNuKeH+xcswL4CAR5z8qT9mXXryP569FHERCP2hEJs3jNmEGinpiJKnj6NkyDCAnvXXfbE2+lEXHzpJa4hLY2JG1rjP/UwwosI65vJ8Orrw6YWLYrOfOjtFXnlFdY2kyXR32+zGF0u26gxL4/sHhVxlPffp5HnkSMExIEAQp/LxX2ZmTbTQcSWMJsAOjMTEefIEZFvflPkwQdFPv5xfiayEaiiXAjt7djUokXY0CuvsGb5/dig02n75Jgm75mZVtQpKFDfTRkZqamI1oEA+2RnJ2udCPZnpvldeSXrpOlNYvoemmmSBw+yBmqzd+VSKCwkxj1+nMzEUIi4JBzGrhwOkb/4C/bcv/5rYugDBxAUCwujS0tPnlQRRxlDkpJEHn7YNnXNybENiHNzEYQeeYTbLhfG/PjjNtBpbER1HK7PQ+Q0odj7Z82yU6wiN/7kZAKnWNraWJg9HhTSyGbNSmLT12d74RQXs3F3dBCwPPggi+LOndECjgh9IoJBmz1jphX092O7n/wkwqMIDudnP4uIMzDAoho7Ja2wkIbcpont+XqXhMNc16FDPP+aNWT0KIlLayubtuk1Ulxsg5dAAIEvLy+63vmJJ1g7jx1DTAyHORk0WYwejx1HbpxMRWlo4MQ5GLSly6GQHV06cyZZDd3drIdOJ3uzy8X+l5Fhy46DQdbDvXtt5uC8eezfWpqsXAgVFSJvvolPd+gQWRCBgM2AMPY2Zw7/HjvGnu3x4DcODtoMMkW5FFavpufmyZP4hcnJrHcOBzbocol89asin/40QXZWFmve6dM8NifHxgaHDmG/bg0vlYtk7VqRH/7QCjdpaezNaWn4cTNmEDd3ddEQ/uBBmxHW2Ej7EoPJ9p/k6KcsnhjnMHLalMEE1oann7YCTm8vDuejjyL0rFwZHdzMmMFJYywzZvBvYSFjx199FZGmtFTkhhtYlE0PnSVLOGl89lkr9rzxBn0ltJHe5MBstiJsuGasd3GxtZUzZ4b+XG8vk6xM3xGT4pieju3MnYtok5xsR1AOZ+OxXGg99csv26kyIizkn/rUucsXlYnLyZMIMn4/QfHOndiL34+g43RiSw0NIr/7HZlbDQ18tbdbGzU26PXaExiPB4EvIyO6GbcydSkqskHy4CD3OZ3YW0oK3589G0Gxv591Li3NCtNtbdH7rWmgPWsWz+Pz8fg77hj/16YkHpWV+FtvvcV+mpyMHbndrF/JyUyL3LCBLJ2eHmwuOZl17c47hz+AU5QLZeZM/LamJisQulysf7Nm8fWRj/BYky1RU2OHrKSmWhHb5dIhAsqlkZ1NFYCpJDFTSgMBMvSvvBLb2rGD/To9HbHH58PuzMFycbHdryc5KuLEm5kzOcmLJTYNzPQV6emh/MoIK88+y/duv90+dt48smb277f3rVsXPUlj/ny+QiECpx/9yH5wduygv0RbW3S2jpmQ9fGPX/LLVSYQLhc19bW10ffPmUNDRREr7BiM/VVV8fO9vQRChYXcvu02ke9+1y6mpaVk5ozWmPuBARyISEIhREsVcRKT11+3pShVVax9x44RxCQnE1h3dCAMPvoo04LMxLLIXko9PdiHKUFwOrG/a65BtNYsQkVE5IEHRH77W9YNrxcn0GQ95OSwD95wA7crK7Gna65BWHz+eezPiN/Z2QQ+bW22CePJk/xfRRzlQpk7l+mmbW0E0A4He2t2NgLPPfdw3+bNrHEiBNhXXCGyfn18r12ZHBQV4fvNno2PZ0bcL1pEtrPxBc0YZyP2eL22f50Ih8oq4igXg89H3LltG8kEDge22NVFlnZxMXZlmhX399tS0vx82woiOZmpk6tWDc34n6SoiBNJXx/GUVAwfmPK5s7lhHjXLm47HDTgjM12KSkhYKmttcJKcjKGunMnJzUmUHY4RO69F9XSZNaYjIhYnE567MT20Dl6FCciNiUt9nFK4jJ7tj3Ba2xkIczPZ3F88kkWz+Zmu5nPnEkgXViIIBgOs4n39OBoPvQQi3BnJ7Zz+DD/vv8+abjXXTfyax4YsLXakZgTISXxaGvjq7mZ9ciMB+/o4PsuFzZppl+cOsU0vblz7VS+UIisnIICW/LS28sauXcvwt/SpZzOXH31lNnglWFYsIASzxdewJaamzlJrqiw5ZxlZYg9pp+S8Qf+6I9Yf7Zto3R0+nTWucxMuy/39XGfolwoWVlkb6WlcShSV4eAU1nJOrd6tcjf/A37c08PNpiaSjlLU5NmRyuXTk0NDYnfeANbys0lezUQYF37xCeiy/X27mXfLS3FVr1egvDOTh6rE/uUiyEYFPn+98nuP3rU9v4qLUVAXL6c7OvIxIZ587BN07vJ5cJuN24kYWEKoSKOCAbz29/aDJe8PE4+pk8f+9/tcJAOe8UVOJPTpw9fy7d+PYutSf82SqXDwTX39g7Ndpg+/cJegxmhGok5zY6ltPT8z6dMbAYGaCR8+DCiZWEhWVmlpQTCPT3YhMnkysnBYQyHUbjNRJaSEpzHwUGRP/xDfv7Xv+Zx+/fbseWNjTgI+fmIPReCaWQWS24uzxNrs9On8/kpKNBToESjvx+hzzTzHBy0pSm1taxt4TA2mJvLz/j93GeC6FDI1uUbYdHhoNQqstFxayu2o40XpzZf/jL197/4BeWZ6em2h83s2dhWSooVCQ35+SJ/+ZeIOHv2YHezZyMGtbZiwy4XNvf975OFqL2YlPNRU0ODTjMmd+FCguj778c3TE5G2Ha77Roowt76ne/gMy5YwECBWJtVlLNx7JjI//k/ZNj39xMQd3Swjn3pS/T2im3UbuITj4evzEz26ttvF7n++vF/DUpis38/+/Dhw8QMptQ5LY317XvfGzrtbN481sXHH2ev9XjYzyMrUqYIKuKIcEq7Y4e93d6OMv3II+MXEBYXn/s0pahI5Ctf4XRm61Y2emPYmZl8/1KZMWNoSZfDIXL33TTcM5kP6emaujsZ+PWvSYkVwYZSUznpu+kmkW99i/sje+F0d6OGOxxkjUXaSmMjzuUTT2CTZjqQEXBEbHC0f//5RZy6OpFNm/j9BQWUzUROqnI4EFiffppUy3CY3/nhh3yOs7P5vunpo0xsAgF6j3R0sM6YEbvBIMFIair25PcTHJsMmkCATT87m827pYUgurAQm6iu5nH9/fZnenpYYw8e5P8aXE9dfD7Gi3s8Nh27rAxhOj0dYeadd1jbiosZv2uCGYeD9XL1an7uvfdYB9vb+b7Lhe02NNDD5J574vc6lYlNOCzyX//FhMjeXrt/lpWReZOdbR9bVWXL6kVYw/r7eY6BATKy+/rIhlCUC+G55ygPNVOmRLApM6hiuEl7t96Kj9bUxF7t8XCgfMUV43vtyuTgww/ZZwMBO2QgGORQNi2N70dmd/X3Izw++yzfLyggY7GkhIO8KUZiiTihkMjbb9vSo+XLqVUfqdAyXOpzVxeO2UTKPElNJeMhIwMFXQQjvvvukf0NqqpIl9yzx9531VX8bZcuJeD3eEht01OexMYEv7Hs24eIk5dHpkJXFwur30+qd18fwc3SpaQwHjjAv6dOcWrodPJzHR1DM8KMoHK+xsVer8jPf24FoNZWxNSHH+YajENbWorA2tDAa3n7bfscXV0iP/0pJ5KZmbZ3jzIx6evDzsrK2JwHBghOmpt5n8vLuW1GPHd3s2kPDmITZj0qL7c20tXFfR4Pa6bpIWF64phGeMrU5fXXEZXdboTlrVspK66vx5YefZS9NT8f0W/vXpHPf37oGhYIYHNZWYg4KSm2Ka0Io1IV5Wxs28aEyEOHWP/cbta69HTWrUgR53OfY989ccIKN0uXRgfapgx+tHrQKZObDz6w2Q/msHZgABvbsoWM1djAuKyMDJ3HHsM/zMhAwNHm2sqlYCZRidiSZLO+nTmDyF1TI/Kxj3Eg/Od/TnJBTw+P7e5mz3a5GMY+POI1AAAgAElEQVRz+eXxeR1xIrFEnDfeoIN/5O1AwDa5vFSGU5vPdX88SUoixba5mQCovHzko/wcDhblyJIu08QsJ4feOsrkwOGwI+sjMdkK69cjgnR22kDX40Hg27iRU+n77uMz9+KLBC+RAmJpKYJgfz+CTmkpNuRwnH9xPXIkOoMnHEas/Nu/RQgqLESwLCnhd06fzmJu8HppKlpXh6CUnY0dP/SQOrUTFbebwNeIhG434l1XF5tzVhbvc2oq763pe1NYSPlAJNnZbPSnT/OY/n47ttfv5/7ubhqI5ufH5/UqE4ODB+3/TbaW3896c+AAAU1REUHy/Pm2vHTlyujncTiwpfx87CwYpNzFiIua7aWcizfe4CCiu5v9bnCQ4CU9HWHxzjujH79sGYHM4CA/EzmsQoTniN3bFeVsOBysfZE2Ew5jW9u3i/zrv7JffuQjPHZwUOSv/5oG7yLEH1deSVZOTQ19ExXlYrjpJkqmenuxMSPoJCXh95ms2bfeIkN2377omCMcZg2tqMCPfPZZ7LSqako02U4sEefNNzkR6+pCYKmooAxqpCLOmjU4dW1tpBW6XKRvTeTUrJGUT52NkhK+lMmLy0VJ1IcfRt9/2WX8u3gxGW51dTYTJykJxzEygMnNxVZOnYp+HoeDwGfDBk67jx8nEL/qqqElTo2NBEZJSfxM7GLb1ERPFOMYtLRQOxtZ5miE1tOnKaExjb+PH+f3NTaKvPoqIqUy8UhPJ+PvtdcQ4RobbV+y/n425ZoaxMB580jbzsxElIvNsMrI4DGmN8SxYwiDbW2IkgMD/MzAAOL/SMVvJXExJZ4irBkNDawvDoc9ke7tRZiZMYN1JnISmsHtxsk8dMiOLG9p4fGhEE20FeVsmKzYUMgGL8Eg+++PfoSdXnMN9vTP/0yJXyiEeONwUNq8bp3tU1JZaUc9K8r52LCB2MfttuVUDgf7ssuFLW7fTo+6hQtF/u//jZ7Od/Ik/157Lf8vKLBTJRXlQqispMLk8cexN1NSlZGBHZm17dgxWy6fkYEOYMRHnw/h8Z//mX3b7SZuuP32Se/7J44XGwiwmJimqr29nJiNxklXeTkp1U88gTHk5+PU1dWROpiIBIMEMD09BD568qwYbrmFk+J9+9ioL7sMIdNQUICKXVWFHQUCLKaxoqYRgyKnReXl2aa0H/nI2a9h715Oc4zj+s47jK5PT7efcRNURfaK6uoixbK8nNurV3MNJ07Yxd/jIahqbOT5Ghv5fM+Zc+l/M2XsePhh7PD11xH0srLs5IvGRsSc/n7szazHOTl2Soth/Xor7plx5S0tiJImXdxk+mzdOuWmGCgRrFkj8pvf8P+ODvZ9h4Mvp5PbJqV7YIAgetasoc/j9+OLJCXZptrmOa688sIbuStTk6Ii9lZzAm32Q5eLrOgPPuCgJDeXzNdQCJs7ehSbTE+nvcD8+RxmTsHGnsoIePBBbGxggCA4GMQWPR5s0+ynx4+zn7733tDDj7o69uJnniGLOz8f4fG227SUXTk/hw4RjyxaxF7c3c2BntcbLQZmZSEkFhTgw02bZisG1qwhZjdTak2vxS1b8AsnckLGCEkcEef4cdLlTYAnwoYXDIps3sybtmhR9BiyCyUQYFNcvNjeFwyS+XP//SO+9HGnv1/kxz8mgBFhUb7ttrOXszQ38/rT0/kbnq93iZLYuFxMETjbJIElS5gWFA7zWJcLh3Hu3OjHFRWJfOpTpIS3t6N833jj+dMXw2FOc4zDKoJj+u67OBWbN+MYFBURtEeWNTY24iykp3OdV1zBKdCxYzgipjFuXx//T09ng/jNb8jgGW7ilRJfsrMR43NybMZDezsBS1ISX1VVVrgTIaBevZoAJhDAFoZb+015ntuNc3DwII/v7yfT7O671dGcCgQCpGMbh/GKKyhV2bGD073BQR4zMMD6lZJi17/MTJpnn8236O8nyI6cGpSaqvuocn7uv59M0a4uO3FPhJNm0w+nsZH9KykJO+3p4bHd3dhmUhKBzb336lqmXDgDAzTUNiXw+/fjN/X32/5zXV3sy1lZ7MdmapDHY8vtw2EO4ZKT+f6JE2RRZ2XpuHHl3Jw8Sd/Lri6bdGD2YHMoe/gwNrpuHXb3V38l8k//xLpYUoJg+Ad/wP2xNDdjxyrixIHOTt5Up5MT2HCYerhQiDfGpFSdOUPAKUKTuNtvt6UhF4ppqBnLcKO3E4H337cCjgh/q1deIdCJbUz84Yd0mjfOw5tvktp2ISm53d0E3k1N9K1Yu9Y2D1USl5IS+t689hrBdHk5abfDBSUVFfScuRhMPX8sLS1k3Tz4ILdraxEjTcpkfT2PmTaNnzfK+4IFiI8ilFWZvlluNw7ujBmsJ93d0Y0ilYnB1q28lxUVvMetrYh4WVl2IlWkeO92I+BMm4ZdnosFC2h8HQoRwAcCto/JgQPYRmQWmjI5eeklsv8MtbX4CWZMvdeLjTQ02EBl+nR6LD344NmdwKQkkVWrEJH9fgIbjwdbnj59XF6aksAsWSLy9a9TBtDWhi/qcuHbRvpSPT1kuTY02LKXcBjhMBTC/np7CWwcDnxlFXSUc/HKK9FTHLu6bADt83H7wAFKk1etYl274gr8wmnTsEmfj7Wupyf68O70aeIxFXGUc7FjB+vYvn3E9ZGHbmaEfShEP87KSr63YgUDUE6ftocnJlvRTIg0pKZOrOFEY8DEFHH27BH5wQ/IvhkcZPP65jdx6ufP51RWBKcstrHbli1nb2bU1ISRlJVFb3CZmfyOWAO4lKyeiUDkeGiD38+HJLIvyeDg0IyIzk5U9dtuO/fv8HpFfvhDG4yfOoXo9oUvaK+JycDChXyFw6OfvZKSwul3pNAoMrR0sbxc5IEHEAp7enByjVhj2L5d5IYbyBI6fBj7njsXIWDhQgIpM6VIBcaJiVmvPB5OBJuaEG2cTkS9qirWlKIi7Gbt2qHr/tkoLaWs71e/Yg30eLAPk6Z7/LiKOJOd/n5OmSPp7GT/Wr4cYbetjT2tooIs3LVrmQa0bNm5nzsU4uvECZ7DOI3Tplk/RVHOxf33k/L/D/9AyVRPDwF0XR0ZNhUVBM9bt2JXJmsnUugJBrFnM7ElKwvx0QyoUJRYTD+mEyfIxDcHJUlJ1ocPBvHBTNuKP/1T9uX33uO+devw0x5/PDqOEBn+YFxRIjG9lVpb2UcjY41QiMO24mJ8+Ujc7ujy5pkz2cu7unguEez4c5+b9PHoxHt1fj8O98GDdlFobxf57ndJl3rvPRS4vDycpNgJUn19iBOpqfa+wUHGOJomrJmZ9N8wJ2UOh8gdd/CYwUHuKyhgY01EiotZmCNxuYb2xWlvH37UbkMDgZXLdfZgad++odkUra1sDJFlaUpiM1blR7fdxufN2F9m5vANymfNsov1d74z1Ob8fjIsWlsRKUUok2hqinYqrr9+0i/mCUthIQKwCKcpc+Yg2CxbRjBi3rf77uOxF8vll7PJf/vbNuXboE1AJz/mRLmlhaB3xgzWC+NAmlLtpCQEvqIihL/zCTgiIv/xHyJPPolN5eYS9GRlIVSfOcNzvfsuvkdeHkHPpdiwMnk5dEjkuedEXniB/TA5GeGxoYF98RvfwLb+8i+x1dxcBEdTXpqUhE0ZAUeEffLllwnAFWU4UlMRWk6fZt1yOm3WczDImlhaGt2TMDUVOzQZrS4X61txMVlgkSRq/KSMH0uWsP6lptqsayPmOBzcf+21558U7XBQETBjBrFpcjJxwBQ4SJl4UY1JpY9VdU2fhIcfttkBzz7LGxZJcXG0gNPTI/Kf/0lqX04OpSI9PTRV/dKXbJBaUUFaa3U1p7WmOWsicuWViGBdXfa+a64ZmomQlxdd2yqC87BtG+nmImRHfOITQ3/WNJCK5Wz3K0oklZUiX/0qJ0BuN1OFzJjzs7FwIU34Ipk2jc9yMGgnq7W1URJYXY0ou3BhdD8VZWKxZg2ZEmb6T34+a7WZSiDC/0dyqlxURAlW5H7h8fC7OzvJ6jR91SKdViXx+fa3ye71elljWlutL+D300zR4cDxa2mhpO/4cQ6Ebr/97OJvMCjy+99Hp4C73YjJgYDIzp08V1MT3z99Gof1C1+I7p+jTF2qq0WefpoS4K4u7MblQghMTcVOKiux2+9/H7usqcFHa2oi4Fm82PprkcROjlSmNuEwPUj6+ohv1q6l15LDYUvPTWPjcJj18Kabho+DItfEyy5j+ui2bayfbjeHdFddNX6vTUkMwmH2wOpqRMKFC1nfUlIQatxu1kBT5nz33cTpF0JmJsLNnXeO7WuYYEw8ESc3d/jxdGbyg4gVXm68ESfJ9K5JTY3uzt/XJ/LYY/R56etjgWlrY5xxayvOe6QzlZw8NG0rEcnKEvniFwlMeno4XYwd7yzC673xxuieOLW10WVkdXU03rvrruifnTuXv2skDsfQ5reKcjbS0kiBvFCuvx57Nll6lZWIOA0N0Y/z++kR4PUSUDmdCAPnU/OV+JCZSWC7Zw+BzCc/KbJ7N++zCAH3vfeOPCvsrrsQ844f53euWYOA/V//hQ05HKxp992n2YSThS1bKLnMz2fPNyPAFy7klNlMpQqH8QdcLnsKuHs3tnfddcM/t5kUFCs+mzLlrVvJiJg9m33R4eB727cTHCnKtm3YUH09AXQ4TBDT24st5uRY+3I67dTIa69FpElNZU37f//PtgMIhcgC8/sZAnDFFXqIMdXxepkcVV/PbbebTMOMDCtg5+djez4fdvfAAxeWyZWczP599dUI4pWVZL4qSiy//jWHGyLst48+ii82OMh6lZ7OIdott1Atk6jToceRiSfipKTgsD/6qE139njohRPbDyM7G5XOjBeePTu6+eqOHThRycm23rO9nfsme1CXksLJ8/lYvRrR5uhR/nbB4NCGeMePD/25sjIEoDfe4H1KSqKJ6NGjLOCTvJmUEgc8HgLs/n7sNDOT8spY/H42C9PE+NQp7PILX9BmjxOVlJTo3jRVVWzyAwNs6qORFelysd5Frov/8i+cgkfuNUlJ7DU6ySyx8fkooxLhPS0p4T4zNOHoUW4HAhx8ZGXZ99xk9R08eHYRJymJ/ntvv20zWsNhAvD2dp63tZXbmZn2OSObdCtTG9Ok2O/HT/V67YFaOMzUleHweKJLBa6/nsz0cBjbbm5mDTtwgBL3hx5SIWeqEg7TomLXLg6tPR58ojfeYE0KBPCnUlMRdVasIJP5QuIHgxGFFGU4QiGSBX74Q2xs+nQOWjs7EZyNeO314t/7fHa/VM7JxBJxAgFOqVpaODU9eZLFZdUqkVtvHTpZSQTnfs6c4Z/PpOfPmIFCbDZHr5eAYbiMn6lIURFfoRALe39/9PdNU7NYrrqK96apiWydvXvtBJArr0RNVZTRJlJ8XbKE7AnTy0qEz33sNJmWFpzbyZBpN1XIyRn70ZBvvUV25sCALWPYtQt7Gm6/USY+vb1Mozp2jM98by8nfA4H73VvL4FMTg7v8bx5OI0NDQQj06fbQ4jz+Qj/43/gT2zfTpagy4V4bOzW4UC0qa21TukUqNNXLpDFixEK8/JsVlgoxDq0fv2FZ2wtXozNffABdr9ypfXbgkHuVxFn6tHRIfJ3f0dGot+PiLNkCSV5Xi9lLeGwFZ9TUvhasiTeV65MFgIB+tm+8QaxosdDaXEohJ81MGBbepiEgAMHKLFXYfC8TCwR5+mn2YAMxcUin//8pY8FrqwkdSsnB3XZpKw+8AD1oEo0TieNF1991d7ncODUPvMMDu7KldGpkqmpnDrGTsR6/30eq00clbEkM1PkU5+iN0VDAxtDWhr2WFISHYRpvyYlElPGYAR+E3CnpamAk8i88ILNHp02jYDFZFr5/fgTqam8704nDTlXruRgx/SvMZxvcll2NuOhu7qwn02b6MFnKCwkG8dkuK5erUKyYlm+HDs8fNiWTZWVkR19yy0Xlw1YVob/FjuJTUSzv6YioRACzq5drH99ffawwmQ+uN22t5LLhT9VV8fB2K23xvsVKIlMOMy+t2kTpcWmSsZM3/N4sLfI/rfmMenp+PAq4pyXiSPi1NdHCzgiZISYEcKXwqJFOHN79nCykZsrsmEDjbiU4Vm3DtFr3z4WdaeT98Cwd6/Ixz5GeZvB1NmKECib9PEzZ3ByTa2joowFZWUin/40wdvu3Tgnp05hl6tWIeRovyYlFtNItKeHf0Mh1rvWVgLxu+/WJseJxsAAp8uGrCymk3V0kHGzfz/v79Gj9jE+H9+78UaE4IMHWTNWrx5awn02zEHTwoX4GR0d3E5LIxP4T/+UvVX3QeXQIdsLp6qKQPrqqwmc3W6Ev8suYxjFxVJcjC1GDrUQ0eyvqUIohO9eU8NaaMTs7GzWpP5+Dl1TUhC4HQ5b0mcGwmRmRq+hinKx7NpF9ld3N/G3z8faFgxafys5GXvNzCQrzO0m9szMZB1T3+uCiJ+Is38/m1ZXF71sIme+RxK7GV0MTqfIRz/KBtnWRrCnTtT5WbSIr1CIyR6RhMOUIESKOObDduSIbTJr1NXsbD6w5eUERTqVQxkLWlsRcESwucpKHJkzZ7DVW25R21Oi2bWLdcrpxJENBDgJKiridPKXvxT58pe1N04iYQ4egkF7X04O/do+/3maWD/5ZPTPmKwc04D4UoJnw6JFTMd44w2CpeRkkY0bRW6++dKfU5k87N3LOHER1p4XXkDoa28n0PF6CbAHB88/rXE4nE76xj3zjM0OW7Lk/BllyuTgmWcQCUXYw86cIebx+VgbAwFspLjYjhU3/XByc3ns9OljX8asTF5qakRefNHeDgbxz9PSWPNCIf7NyKBseeZMBMf0dGywuJhYfenS+L2GBCI+Is7Jk7YJmwiLTkMDi0yk8yWCYzVSCgpGNp52qmJSMGOJFdaWLRPZvDl6SlBSEqdNK1YQVNfWEhR9/vNje83K1MScfBtmzrRjqR95ZHI3MVcunhdeoHn+sWM2AycpiX9Nf6W2NhqE6olQ4uDx4Pzt2hV9v8m+vfVWyoV9Pk4E09MRfBcuHJ3m2U4nWYFXX00frrIynbChWN59F6EmOZk9q6cH3ygri7XG68U2TRbzHXdc/O8oK2PPa25m38vKGv3XoUw8zpyxAo6IFWW8XrLjTRP3tDT8+txcMpXN1LyUFPylpCQdD65cOqYvqmHGDARFs96FQqx/bjc+1vLlHLJeey29cgoLOQxxT5xCoYlMfP5K5gQ0ks5O0o23bbMN3pYtUzUunng8ZNDU1kbfHyuseTw0Mq6rI10zJwehrqfHfnC7upgitmHD8OPOFWUkTJ/Ooh8I2AkdjY2crH/veyL33EOwpihbt4r8x3+Q6ivCfhMK4cQmJ9tRv2b0qpJYfOQjBC/797M3XX45wYoI+9mVV7InRWZYnW04wqXgcLBHnu8AqquL4GraNJ2aNxV47z2Rp57i1Dknh0MGEQLonh6CbRF7kLllC8G0edzF4HRiV8rUwYyYNxhBu6MDf7y1lXUxIwM/qaUFwebaa8lUPHiQPfCyy3QykHLpxO5lBQXswW1t9EodGMDOTBP3wUH25aoqLfu8BOIj4sQKOIZ580hlrqtDJb6UzUsZXe64g/Rzk+lQUhKdGt7VRQ3u6dOc+BjHwQg/dXW2qaSIyBNPiPzJn2hZmzK6pKWJ3HabyG9/iy02NrJ+lJQQKD3zjMjXv67qviLy8susSSkpNr3c4bDCjWlqPH++ppUnIm43/W1uvHHo91wuDhKee84Gy9nZBDLjRShEuvnevTatXEXmyc0HH4j8zd/YQ632dvYll4sgJzKTNDWV+9PT6eumfrByIZSX233MUFgo8pnPEDz/4hdkyxt/PDmZjJzlyxGxL7T/l6Kci+XL6aMaCtn7qqpIyvB6iQ1bW7k/J0ckP5/MVeWSiE9Es2wZgX8keXl2ERqNEipldCgsFPnKV/jgmfGrhtpakZ/9zJ5kHznCe1hQwONMCqc58SwsRHXduVM/tMros3Ilm8X3vkdztMg08v5+0o0jJ6spUxPj5AaDiH/9/dyXnY3dTJ/OYcJIeqMoE5dFiyg5OXoUwW7+/EvrP3KpbN9Os0dDb6/Ir36FyKwZOZOPcJjDq2CQw0m/HxGnowO/t7TUvu9ZWYg3puFxUVF8r11JHHJyEK5fe83ucQsWEFSHQiI7dmBnZgJfaSl73GhmISpKaanIxz9u+8JVVtqD/+XLqcTo6mI9zM4W+eY39VB/BMRHxJkzh2Z/mzaR5ldSwu3YBpIDA/xruqYr8cHpHD74/f3vEWnMY5Yu5T0z6ZgnT4r89Kco/wUF9jk6O8fv2pWpRUYGQVl///DfU5SPfISm+qEQNpGUhNO7eDECzp/+Kc1AlclLdjYp3vEgdgqnCCfiZ85oqfFkIhzGB6qvjy51CQQIYEIhAu/UVIRFnw9RMSeHNWnlytEVcU6c4AAtGMRXW7Bg9J5bmRisW4ct1dYiEJpD10WLqHSYMcMKPKmpIvfeG79rVSYvZyuNuvdeMqFNP7qbb9ayzxESv9oCk6ZeVoZ48+STIg88QKDv9dJ48sgRHjN/PhMfTJq7MjEwir7B5SIouuUWnJC5c6mzjUyrEzn7JDJFGQ3WrCHTz4zOFMFhzc+P3zUpE4fLLxf56leZVHT0KHaxejXOhMejo+iVseVsYrKKzJOHQEDk5z8XOXWKoLmhgYyrcBixxuezTdR7e/GBV6/mq61NpKJidDPS9+8fOkzk1ltFrrhi9H6HMjHIyRlaBpyaKvLQQxy81tez191ww8Rcc8xY6sFBGs6Xlsb7ipTRYtEifPGeHmxPM09HTPxEnM2b2ehM9o3fTxrgZz4j8rvfiRw+bB976BACzp13xudaleEpLRWpro6+r6jIpqZnZdGnxPSgEGFa1cKF43udyoUTDtNcfN8+nMxVqxKvuXhxsa0D7+4m809HrCqR3Hkn/b62bKFfhc9HKZXLJfKlL/E5uO460oI9nnhfrTKZMCJzZK+4GTNYd3t7OcFcvFhH2ycyu3Yh4IjwPs6di5DicPC+h0KsNz09vOdlZfhNK1aMzfW8/TbZqSdPsiemp3MNa9aonU0ViotFPvnJeF/FuWlsFPnxj+2EyHffFbn9dtuYXkl8nE4yYZVRIX6NjZubh97f2Mi/Bw8O/d6BA0NFnGAQEcHnY5PUSSLjy003ccJkSleSkmgaaTh4EMclN5fT7htuoC+OMnF54w1KTQw1NXy+zIjeRGHaNJGPfnT47zU0kOWXnk7ZjGb4TU0cDpHrr6c/V28vk2OeecaeVp88SSB23XWcZKqtKKPBtGlWZO7podR41y4asosg8NTWcgCiJCaxEz1LSjh5LixkjcnIsKXo4TDrz1gJOCKUc+3aZX+n18u0rM5O/DNFmQi88YYVcET4bPz+9/RS0awNRRlCfEQch4NNraEh+n6TNufxRJ9SiQwVaLq6RH7yE1trnJws8olPkIaqjA/TpjFpau9eHIRgkOZpHg/vy7PP2se2tJDieeut8bte5dyEQoxfjuWDDxJPxBmOnh6Rxx4Tef11BJyZM0XeeouASqcQTV2SkjgdevPN6Mke3d1M9OjtpQHyW2+J/OEfatCjjJySEpG77+b/L7441N/Zvh1xMTNz/K9NGTkFBUPvy8wUue8+sszNyOeBAYSdefPGVsRJSbECjiEpSeQHPyALaM4c9ngNlJV40tIy9L7+fnqGRQ6qUBRFRESccfvNt94anaaenGw7WA9X+rB6dfTt11+PbhY3OCjym9+cfXy5MjakpNCosaGB7Kr9+0mH3Lx56GO3b4/uU6JMLMLh6FMQg2kwPpEJhWjcWF09dA0Ihzl1/OxnRX70I+y0qYkmj62tpJorUxuvN3ptCoWYHhMK2QC7p0dtRRl9IsdLG0IhREQlMbnssqGjwVeupB/gypU0oL3pJg4eN2wgI3CsrydSEHQ6CYwPHsR/27SJPpSKEk/Kyobel509MXv3KGfn5EmR558Xee65oS03lFElfj1xZs4ki+PQITJzFi7ktFOEsXfJySK7d3N7xYqhIk5NzdDnbG1lY9IP/PjR0jJ02kYgQLlK5Dhyc7/fP77jXJULx+WiLPHo0ej7J/oUi+Zmkb//e9YSv58x93/3d2RMvPaayCuvsJF0drI+9PVx+pmejpgT26BbmXoUFdFI1BwMmL4VZuy4wZT8KspoUVlp+6cY0tLoYaEkJmlpIp/7HA1aOzrIEJ83D1/3jjvI8DOHmEVFlGyOJStXcjja0cGhRn09a1lkefv+/YhJmmmY+HR2speVlCTWdN/164ntzARbt5tpks745Rsogs8cGaufy6b27Yuuwti7l1YoY5lpOIWJn4gjgtgy3JhPh4Ou+efqnJ+fP3RUdVpawixYdXXR0x5HcxDBuNLXN/z9w/W+mTnTCnXKxGTjRpFf/YqNNBxm82xoEHn6aZzAiViu+IMfsFEYamtF/vZvqaOuqaE5Xm8v2RbJybymri6yyPx+nX6gsOd87WuIgYcPIzQXF3NiHtn4s6QkfteoTE6uvBIR5+RJbns8InfdRQCjJC4pKcNnlVdUiHz96xwspKRwe6ybC2dmivzBHzA0pLOTPX3+/OgDz3CYbEMVcRKXcJj3ePt2/p+URG+tRAmgc3JEvvxlDoEHB2nyrofy8eX0aSbttbZSkmkGh5zNb47sqRl5X6LYYIIRXy8hHEbFuBRn5brrMK7IFPj16ydMTe/p01Rw9PSQ3LBunU1AOXKEgxhT9bFnDw3YE7LtSFkZGQ2RYo7Xi4PQ2cnJj8NBVs7ZGs0qE4fMTJGHH0bkePll1PczZ/g6ckTkU5/i5HiiEAjYjD0Rsifa2iitOnSIUjAz2jWyVKynhw0pL0+npSlQWiry3e9ySi1ChtdLL9mFOjubLFElMQmHCW527eL2ihXDHyKNNx6PyKc/jd319nLYoUMaJjcez0WczTcAACAASURBVPhnuFZV4Yz29XFaHlvynpamBxoTjf5+St3MhN4rrhC56qqzP/7QIabcGfx+kV//mp5HidJfy+1mFLUyMfjtb7EpU/Z78CAHoX/1V8M/vqvrwu5TRoX4iTjvvsvXwABB4caNF3cCUF4u8oUv2I77ixbh/EwAzpyh53IwaG/X19vpfrH9M0Voyl5ZyeejrY1yeJ+P+666agL7dG43zfqee46Lbm7mA5ucjHiTnc2YXnUOEgu3G9EmklCIiSoTScRxuaKzu9rbcVKdToQar9cKxWlpCDnJydjl4sWsG5s2iXzxi/F7DcrEwQjOIvw7Ywafg7Q0xD4dN564vPMOk04M9fWsB+cKisYT3SOVscbhILNh9Woc0/37uT8tTeSeezT7a6Lx3HMcUtXVsVYdPMh7dLYqheH6j4RCZPktXTq216pMLvr7aUfw/e8T2xUUsE6EQvSkveEGbHHBAg7yDbNm2dghHCbL1OcTefRRbPCmm7SlxigSnxV73z6RV1+1t0+cIDXlYgOp/HyRG28c3WsbBbZutQKO4ehRxJnhqsBEqPr4938n/tyxg/uWLmXtPn2a5IgJS0WFyFe/ilPw+OPUeBu6uxkPrw5qYuH1sljHcrbyuXjhcDDl5V//1Y5qFSH47ujgdbjdNvhOTcVe16yx9zU10dtpuBJAZWqTny+ydm28r0KJpKUFMbmzE4dxzZoLcwrPNnlvoog4ijJeuFwi995LD5yeHgRrFXAmFqdOMRHx2DF76tvRgY99NhEnO3v4+zMzyVrW91i5EIJBAtLXXqN3lteL7VVWcgja2UnMnpNDz8n777dJFBs2EOy2thLYNjcTzHq9Ih9+iB3ecUd8X98kIj6f6Mj+FYamJoxl2rTxv55R5mzDfPr7iQlmzbIHIIaODr5XX29j5xMn6EdXU4M+EtsneELhdOIYDDcdrLZ2/K9HGRl5eSjvra3R91dVxed6zsVdd7GxvPCCdUiXLEH93LqVD1RFBWtLfz8ZFbGN8vRkIPGpqSETa+bMoZNhRpO2NpyY6dNJcVfGj/Z2kccew1fo6kLMqa6mHOl8DDd5b7j7FGWqkJc3tmulcvEEgyJPPUUWzrvvEvQWF9vD0RMnyI5wuWiWvXatbSOxciWBsjnMMgdbTz3F81RVEUBrb0rlXBw7RjaB389od68XW2pq4nZ2tvV9fD5aL3z+89zOyRH50peI+370I/yxyJ5fe/fSrHqCtD5JdOIj4pztzZskb+q8eUMHNmVkIO4cOULrHnP4L4JIbrSryBY/kUkP/f1je83n5ORJegkMDopcey2lbMORm4vSb0byGiIzc5TxIRDg83SpDRMdDk7qfvlLAifTlX7dutG9ztFiwwa+Nm8msBPB7ubN4wNWVcXmsmIFtYuRzJ3L95TEJBjkVMgsug4Hqb6jnWERCom8+CJNzETI5Nq4EcFQGR8+/BAnMHJKWF0dm+qMGef+2QULhh4gLVjAyUl/Pz+v5XKKosSTbdsQcNrb8acHB2lEnZLC+hQIUFaVm8va19xMKZwIgcYf/RGHV21tnA6HQgTaIjTtD4VsbwdFiaW+njYljY3Y1uCgPaRPScHuZs6MPsBqaMCuzOFodzf9maqrsdnp0218P9xBv3LJxEfEWbmSxSSS8vJJU84wfz6ax8mTVG8kJ+MjPvkk38/IYA31+4k/Zs4U+eEP+RwUFPDZ6ekhOaC2lgy2uLX72b6dZp81NXxIf/ITkUceoRNzLKmpNP58/XV7X0bGxA38JyNtbTSyO3WKOtWrrz73lLdzMW2ayFe+wkKeknL2VN2JxI03sln89Kd8AINB1NAZM0QefJB0t6Iiuo739SHyrF8f76tWRsKePdGqeThM75PFi0dXnNu3zwo4IjjGL75I08gEmYqYkPh8vJ9vvslIx4YGsgeMQN3Tw6lhUhKnI9OnD+9LbNjAiaKxlcpK1ssf/IDbKSn0d0vYUZGKoiQ8+/cj4ITD+Cs+H8JNZNlbVlb042++2TYuzs7mtgi+e+zh+LFjnCjrnqVEEgoxmfbgQWztyBH22JQU4jjTe3a4KVOFhVbA6e2lvcHx4+zVvb3ss+bnliyZNAkbE4GxFXF8Pt68vLzozrxVVfSxeOcd3uC5c+2ik8A0N4s88wwZkPn5rLPl5ayVR4/ax/X2MgXws5+19916q8gTTyDiDA4iZBYVIeLMnDm0+mNcCIVEnn/ejj4VQXl67DHEgeGC+muu4YKPHkVEWLYsuumVMnaEwyiFbW3c7usjzTE3F7HiUnA4SOVNFFwuPkSFhXx4TInfhx9it3/2Z2QU6USqycNw5ZrhMKeUoyniDNc0MhBA4J4/f/R+jxLNU0/hXPb0INI0NBCETJ/O+uRy8fmOFNiuvFLklluinyc1ldMTk+L64YfR41C9Xva7r31t4jqZzc2c8pSUTJpDrynB6dOU/1VUJM6UIGV8CYcplWprw1a6ujiEcrnIZpg9m6Bi2rTo9SkcZj2MtKv9+xG2t24lCC8psaK3wxGngEKZ0Bw4gIAjQpBaUoJvlZSEcFhSQty+fj0jx03ZiMsVHb9v2sS+GgpZ26yvJ86/5hqCXWXUGDsRZ8cOGh4NDrIA3XADDQgNS5dOmm7pLS3Y9Asv0LsmO5v1tKIC2z9+nMelpxMPu1zEF35/dCuOJUvIYlu0CBHo1CnW8y1b+Nk//uNxFs/9fpyPWAYGeFGrVg3/czNnTphJYVOKujrel+pqFuGsLDb+PXsuXMTxeq0CP2/eBB6Ldg5qagh0ItM2w2Fs+cQJMieUyUN+/vD3FxSM7u+JPP0MBlmgW1pYlL1ekeXLR/f3KZxIv/8+Ao4IopwJcvLzbS1yR0d0P7333ycTa7hGcuZQIfJwwtDby3s6EXvz/e53CE8+H0HY2rUit90W76tSzoXfjwh54gS3XS76QaxcGd/rUiYWXi/Zw/X1CLV1dQQHHg8iTGqqyEMPEUhv2RL9s3l50YLuW2+J/Od/chLs9eKvDw7aqaKLFyemX6eMLTU19v/hMH2TKirIJigqYk+cNYvY7stfJjM5HCZgjeyr9f77trGrw8H33G6aHw+XxaOMiLERcVpbRX7zGxtE+XyoczNnTkznaASEQmTQvPsuJVOBAD6m220PX2pryUYTYY1escK2jxFBtDTrsmliPDhoe+aI8Hl54QWRT3xiHF9ccrJVYyPJyiKAOXECp3r1apuVEwzS9DMrS5vFjje9vRiKWUC7u+kBcdllZEbt3YsTuXLl8CLbmTMiP/sZG78Ii/iDDybeZzYvb/i629RUTuHffhtHqbQUIVL7YCQ2q1ahfpsMNBEU8dG228svp5ynvx+hs7kZIWFggMXZ5dL+OKPN4CCf2WCQ/yclcRLi9RKUVFXx/+EaTJ8+PVTECYVYC+vrWR/D4ei+YS7XxMyUqKkhODt0CKfC4UCwnz8fx1oZHzo66FnS1cVhwLJl585q2L7dCjgi2PGmTfRi0nIWxfD++6xJIuwvs2ZxEJWaii+9YAEB9eWXI2wbPy8/n96FZg0LBJgqFBk8+P3sVYsXsz/dcMO4vzwlATCHYYEA2a4NDVbMmTePIHbxYh6TnX32noPDCYTBYOLFEQnC2Ig4R48OH0QdOTLp3siXX8a3OnUq+v7eXtbVwUFKqjo7baP4piay0kT4k/z2t6zH/f34oj4f9xvhRwTR5+jROJSyfu5zpNmZFPS0NC5gzx7rvOzezePOnOG0sLeXD/L115N9FQxykpqZOXHT1CcDbW28P2YygQh/+4YG25BJBDHnvvuGlhRt2mTfZ5cLg9y8+cImv0wkVq0iddM4RSJkZRQVoZi2t3Pfvn2kHX/mM5penMikptLMcfduPgMVFQS3O3YQQGVnIzSPtLQqO5t17s03sZs5cxACDdu2qYgzGrS3s78Eg6xRbjcn08anyMggmPnYxwhu+vsR0WKJzcQKh8mK2LGD/zudiCOLFtkg6PLLJ2b5b02NFXBEuP7GRvqfPfJIfK9tqmAmo3V3I+a8+y7lAcaZG47I022D34+vpBmhiiEy493tZk+rrOTE1xyQpqTgl330oyI33UQwUFAQLUIfPWrXCEN6OoexX/uajhhXzs6KFYjO27YRrxUXE4ya0pE//mNiuD172HPnzh0+23n1atY94387neyrJSXj+3qmCGPziT6bExSpSiQgR47gv3d0sL6mptLDt70d8bK7G3sPBllXHQ5i6gULEG727ePQMBTiQPHf/52M7ldf5bNSVMQam5QUPaWqrIx1PC6lrHPmiPz3f4s8+yybw4wZvJDIC+nr4w+zZw+qVV0df4yDBxEQjh3jMRkZKFo9Pfwh3G7UqbIyskU0xXPkLFlCOVV7O5t+eTmZVLm59jHhMMpjpIjj9VL+aE5wCgtR3+vqxvf6R4O0NJFvfpNso3ff5QO1ahW333sv+rFnzuD4aE+TxCYlJbqB969+hdBi2LWLEZgjFXJycqgJ37Vr6PciF23l0qipia63f/111qvcXDslz+mkJ9udd/KYQIAyo0jRtrJyaJC8ezdiduSBxOzZCHH5+WT1TFQRLjV1aHAmQtazMj588AHB9qFDNtv15En6L50tQBmu1NOUGCiKoaDAlneagze/HzuZPx87ivTXMjKGj6e8Xp4rci0UwZ9TAUc5FykpHIaZXh/Z2QSlJphNSqJRdmcnj3/lFQbcxLbVuOEG/Oq6Ois0Pvjg+L+eKcLYfKoXLqQ+yLzZIqQELlo0Jr9urAiHESYPHsTvO3rUlkvt30+8u3o1vmAwaKtQjC5x883Ez4EAB8JpaXy5XCJ//udkpnm9PHc4jDhUWMjn54478FkzMmzmzaJFcdI5CgtFvvAF/n/0KGpWLIcO8UL37LH9C5qaRP7+72kwmZTEY377W8p5Dh7kA25Gbx04QKdnzYg4Pz4f70NLC2p4WRn3L17M+OzIzd7t5u8cS2xAsHkzGTzmtLu5GUNN1MlNaWkif/iHfJnmgJFT0yLp6Bjfa1PGltbWaAFHhM/A1q1Dm91eCllZiNmx/cJMqrFy6WzZEi2GdXQQ0GzcyHo3OIiQVl5uH+N20y9izx47nWrJkugTahGyVoyAI8JpYl0d43mvu24sX9XIWbSI1x3rU82YYXvXpadPukznCUNjI3vrO+/glJlS8a4ubPYTn+B9iC3NXbMGu4zMji0uxhZ7exEOr71WS3qnOmvX4hOfOIGYk5+PjXm9HIh+4xvYyMAA/nVBwfC+clUVPqHXazOOs7JYHxXlfKSkkJETW+7hdnMIErn/hMMIOUuWRK9fWVlk7Zw8Sawye7aub2PI2Ig4SUmUKLz9Ng7YtGnUzw1Xtz6B2byZwxcRYuYDBxBRjGhz5gz6w9KlJD94PHz/i19EwElOJsvmiSdsbOx0kphy4gRxcl4eX21tNtZOT+fnzdANn4/44MYb4/N3iKK8fGiqkAg1vG+9ZQUcERxmhwPHuqzMpsQfP25fbF0df8T6es2IuBBaWkT+678ISHt7WVw3bMDocnJoHvbqqzaYuflmbsemdceO0d2/n/fwwAFrrK2t414/HQgwTXj3bkxnxQqq8kZUhWd+uLISG43FNPxTJgeRjsaF3H8p3HsvJTwnTthMryuvHL3nn6pE9nIIhfjyetlwi4rs92InI3o8pGyfi+7uofd1dCRGmrfpT7ZpE+t+RgZ+1fTpIt/5jt1PZ88W+fjHtR/daLJzp91za2pw4srKcNxcLvbMb3+b96WsjNNpI6ZlZXEAtnMn609yMv1PDC0tOIL33x+f16ZMDHJzsZN//Ec+03l50VlcDofIa68RkAQClLXcdddQPy4jA0ExKwv/zeOhkfaCBeP7epTE5aqriNGam1nvBgcRGRsahj52cBCxMPbwwOkcapvKmDB2+XWZmQk9OWFwkCwcg8/HoUtKis2mSUpCeygpsUlGq1dHv+ybbsJ33LyZdfjIEVuOHwrxOUlJiU6myM9nHZ81i8/OhCI1lVPRX/4S0aWzE+V/2TKcnEiMqmVSlAKB6H/N/01zyeHSxZVoXnmFUg5zshcIcBI4axa10pWV9O2IZONGlESTcVJcHD0SUARjLiigrK25mftmzRq3hbi2lss7fJiX4/PxOXj3Xb5/002j8EsqKym52brVfgivuUZPrycbZWWsPT5f9P2j2QA2K4ug2pSFaqr66FBeziLQ2MjJiN/PwUBLixVbsrIubbpPRQUZK2Z9M7+vqmpULn3MufNOFkVzmrRqFYFdZKZldTUlo9deG7/rnEwEAoi1R4/i05oDrIYGhMSyMoRcM/2xro6SvUcesYcHGRnsMyIiTz899HccO8bmF1nyrEw9MjOxo+GyFg4dIgvM0NMj8swzIl//+tDHz5/PmtbZaW1WUc7Gjh02W2DRIrJSb7sNYdrjodw4GMQGY8tDPR5dt+LM+Hmefj+n/a2tOE7z5g1Nd55ADA5Gaw79/cTNfj97ssPBwWDk1NmKCr727SP2TUvj/muvJVPSND92OPgsmIw1n4/PwqJFxNGVlXxVV5PM1NVF/HH99Txn3P9sJrW7uBgnpqND5C/+Akfl1CkCm7Q0lKj9+239d2Ehqq35I/X1kXbU3s5jNCPi/NTU2DRZQ28vgc/ZKCgQ+cpXUEpcLt6XWCO67DKyVNLT7fswDoFAICDyi18g/Pt8tF5KT+dzVV2NL7Jr1yiJODt28DfIyrJZSiPtkaJMPFJSqEd98UWbMbhgwdiM9TXZpaEQDcPNKftNN2nj0kvhxhsJmM165nKJrFvHnlJWxtq0ejWLhM/H3/1CM3yvuQb/o7SUICgjQ+SBBybAhnqBuFysyWZdbmiILtMxnDihIs5o0dtr+8K53QiJHR0cAFRUcH9kaZ8Ip3anTg1/ADI4OPzvOdv9ytRi2TLbG8frxS4WLEDUjsXrxc6GE6GdTu27pJyfXbso7TS8847dU+bOjX5sejr7bWQZ3w03DN/jo62N9gV1dcR969cPnRSpjAqjL+J0dNhTMzOq0+cT+fGPo9OxFi8mJX0CYspJc3J4Obt3Y9ceD7rDiROIMEVF+EobNxIr/O53JKiIsN/fey+ieEEBgzT++78JTM3EQK8XX3LFCh7ncuGnLl9Ohs8TT9j+eS+/zO0FC/AZNmyIYxZ4dTV/kPx8FgGTQbN9O1kNubm8GKeTZqIOB+/9nXfi4NTV8eL7+xF79u8n6IlMl1eGp6hoaDlbSkq0mjgcTufwY8UN69fzvJF1TOOQBrZrFwKOCIfkPh9+S3o6JlRdfe7LvmDee48sJkNXF7ZqTkiVycXixYgotbW2Qd9Y8swznLI3NvL5eeEF1r5zTa5RhlJQwElgY6MdoWtOkufNo6FxICDy0kv0GgmFCJbvuuv8gxOWLuUxu3bxc8uXD3VUE4nMTJvSG0lsqZly6WRl4Qj6/ewZgQCbU34+4mJ29vA9AmMz88zwh0OH2PBmzrT2mp/PgZgy9RgcpPQ9Lw97WL4c3/qHP+TALj/flu0Nh46pVy6G/n7syhxkbts29DEmCyGWlBRK9Xp6WM/mzRs+i93vJ9g1rTW6unDuv/Ql3ZvGgNERcZqaSOvdsgUFrrKSje/662myaiZHRJ547d9PD4EJps5t307pk99PlnJdHWuq08mlNjdTiREM8lKffho7drujxfJAQOQ3v8FHdLkQy7/1LZF/+zfEzkOHeFxeHp+Lmhr2eDO9VsT6Zj09dupbRwcHQG1tIl/9apwyJY2A0NUVXQIVCuGEX3EFH/D8/OHFhddft2VUZmqVz4cdqTNzbm64gXKgY8e47XCQprVu3cie1+EgQLr66pFf40UQ2RvWHI739ODbmCnnwSCfxRH5K6a5ld+PzaWlcZ+KOIlPMMgCmpSECm72mZSU8QnSm5oQCPfvtyVcycmkla1dq+V6F0tGxvCim1kA3nyTHiOG48fJurqQviKzZo1uWV08ycigpCrSEU9KmoA12AlIayuncqdO4afU19tecS4XfsrDD3NgeexYtJBWWEjDaUMoJPL44wRHAwOsEXv2kBlYWYnQmyjZYMrosXs3NubzEWBceSWHmampOPkzZ2IXwSB2mJQUbWfl5UOzwCLp7qakqqRES6oU/JMXXiB4rK62o5DNwbshGCR+O3o0+uezsjgYO1+DysOHo3ujimDje/eOe3wxFRi5iDMwgOpWX2+P1Lu72aC+8x0Uvfp61IfFi22NkQiKSKyIEwpxsmHmeI9juklnJ8OTzF6dmsrlzpmDNnHsGHFBQwO2X1SEvf/+96zBsSJjby+fl9xc9u+ODnz79HR+R3o6e/3/+l/Y+Jkz/NzevXxeKip4zsOHbRl/Zyd/Hp+P64kcRDRuzJnDHyKyt4CIdbx9vnOXRvX22hS8yFR4FXHOTkcHi7DDIfJXf4VoeuwYRrJ+fcI2hI4ssc3IsBnAPh/LSHIyn4c/+RORP/uzEcTkg4NkZZw8yRrjcGj53mSgoYEeFMZpmDaNEpnzZWWMJu3tLNKRPXgGB7G1M2dUxIklEED8z84evpfQokWcpBw7huhaUICfYKZ/xU4eE8H3GByM0/jGOHLbbQiXR47gUKxejYigXDrBoMjPfmYPqNrb8UuSk3H0pk1j321sJND++McRFjs7EQhvuilalDl4kIbU/f32vuJiGohu3DiuL02ZIHR3k01oRJlQiAaAlZXRB3QGl4vy77o6GxtdddXwzx0OE8js2MH/U1LIgtfmxlMXn4+yqf5+HOpgkPtTUtg7y8vZj9PTCW5Pn8ZeTp6kamLaNGzoQiaMxA69ibwGZdQZuYhjRkVHjukNBjlp8PmIyjIzcWYPHYqeKR8r4Ph8Ij/5iVUzRDgpv/76EV/mhVBdbQUcQ14eGlRKCqKO08nLy8+3a2xqqu1zF0lSEiVYjz1m9Y4PPuA5V6zgdk8PnyEjuAeD+AqBgK0EMD/rcnEd/f0kNz39NH+adevGua9mcrLIJz8p8txzBC9uN5uK+QOcrxfE9OnRJ6ki/AEmWFbWhOH4cZGnnrILb1ISgepnPxvf6xohDQ185Pv6+AyVl3MAOm8ey4n5fLW28vWtb4n8wz9EH3JeMKWlBIaGcBgxsbb23KdZysTmpZdYRLu6+LezE4HzrruiHxcOs3CaRfwi8fvxiU2G++rVEUmGZWXDOyiBgJaIxrJ7N1lLppT2llvoAxFJd7cttzWN6G691Qr+wzX+NOW7Uw2Hg79f7N9QuXROnIjOMPb5sL3S0uj+I0Y4rqo6d3PsHTuiBRwRDqxiT6uVyUlnJ+Xczc1UKMyahX3FlkGKIOCYNhSxzJ5Nlvv52L8/eiqL1yvy/PP46Ak2IVgZJerrEQCPHMEOMzPZO0xpyenT7J8+H2Lhnj383MaNHBCnp1/475o3b2jLB4fDTv9RRpWRh/6m+2/s4tDVhcOcmkoqSnMzJxqmi+/atTi4/f1Ecfn5BPaRAo4InX1XrhyXBqTDVf6kpqIjNTfjq9fWEks3NaFdVFXx0mfNwm4HB23wedVVaFzNzehcZ84QjLa04A+YKqJwmIwds887nXxuZs+24pHHg8/b0sLe73bzZ9uyhee8554x//NEM2MG9VxXXYVTblJCL7/8/Ir/smWkJplOzyIoUbGdzxV45RUr4IiwOL72mshnPhO/axohb79NBpsItt3by5Jw3318Xp56CpOKFP67u/m5S5rG+v/Ze+/oNu/73v+LSYIguClOkdSg9raG5SHPKLYTjyQecW3HsRNnN6NNT9ree/+457Y9ve1tbm9X2uwdJ3GS2rVlJbYjWbZlSdbepLg3CQIUwYEN/P545fP7PgApWxIpEiDxPgeHBPDgAZ7v8/l+9qithb48Hp4XFZHWI1GIDNIPfj+eQJlmJBgcRGbk5/NobCQSPjSE8rJzp1Jr117RV/3sZ9h2ghMnaHmTm6s457ZtSr3yim5Q6nCQJpmhLY3BQcqeJFIyPk56d1UV2TaCN95AiBqzC48eJeNQRom/+GLiuTdsePeSAa8XOnA6OW+mvCCDy0V2NgLK2HzYar38sjy7ffLeRUaaz2BuYnxcqe98B6W9rY0ogMOBci8TS4xwueBPEgQXrFhx+Rl2ksljRCjEd8sUtQzmF06fZqrhyAiPgQFkbDwOPVZUwNNCIWSlZDK/9VZi4sXlwOmkCeyuXZzL5WJgQSYj+Zpg6k6clStRXhcswMPh90MchYUoSkVFPF+7Fq/DBz+IR7i8nG6977yDgVpQMLmXWOqRZ8CJs2QJfPL4cZzXdjv0Hg7z9TffTBKKxYLj0mpFtnu92IdjYzh3Fi4kw3b5cnRUv59gjPi7+vpoa3L77Zy3sFA3dbVYOK/Xi61xyy04j777XRypXi+/raAAZ3tBAXKivJz/ly+f4ayczZtpGNnXx4VcKopghNWq1JNPYkB7PBjYs9alOYUwOsrNLC3VnsB4fGLZmlIQWppidFSpvXv1c5uNR2kp8iIcpm/UmTMsQ04OOrDLNXEw12XB59ONjKWmV6L5l0OvGaQm7HaYodGBMz6Owf/3f4+RtGxZYs+KkREyCMvKLjtLpqMj0YEjpzl61NBS6bHHUF6kXK+8XKmPf3zKl5h26O0l3XRkhL1WW4uSWFSEsy051TUeJzpoNGjd7onnDQbZxyUlyByTCd0hHKbM6t16Wx07RsaWfHdREf1MMns/g8mweDHO34sXodn+fuispwfjZtUq9Fhja4D3Ot/q1boO3mKhHGvbtmt6GRmkAE6e1IazBC3Hx+Fn587hWMnPx4AIhaCpvj6isg0N6C1LlpD6ebm4VClxht/ND/j90N3oKIHK0lL6kDocBLJGRznGbtejlkMhXsvKQqcS9PXhACouvjIbbelSJuJOIfs5g8vD1M39vDw8Fi+/TPTT54PpOBzUCTc2QkRFRaRES9O948d1s1GlEJhuN8RivOEm04z1SQkEeITD8NyODmjRakWWv/wy/qbBQR2Y8XrR3QsK+Iw0GwPN2QAAIABJREFUPO7qwqFSWUkGTiTCHhkc5JiuLpbmC1/QrYSCQfRMl4v9UleH/uB0wudjMb43HmeJIhF05uZmPp+Tw3Ef/3hin6prDrv98mtcLlzAIsrPT//pINOFWIzI8vHj/F9YyGgzGQVeUZE42U0pCCtN0d+fmFikFA5QSTjKy0N38fnYi6Lz1tToqa6Xhe5u+qW8+qruw2GxkAlWWck6X2FGRgYpBIuFgIDIkVgMBltaCvEUF6O8iCdQmpMuWECK5GU6caSyIh5H55YBVFlZOPZNJkVTSpeLPWw2Uy8733oQ9PYSdY5E2NDPPquN3vr6S2cuJAdvqqsn8junM1GoXXfd5UUIw2HKKI3OI68XL/Hdd1/edWUwv2CxKPXEE0TOBgbgHatWoeQFApQyV1UhrJqb9YS0S2V3bdpERKKoSBtPO3dmJrXMB3g86LzNzdg4+fnwogMHoJfsbOjn2DFKpcbHMZo7OjCCryZjcMsWIgxGY3zx4rTWGTO4TPh8TDbzeqE76Vkgxq2MWTZmeWVnw8sk+i9ytr2dxIzeXl7bvh3notnM+aW2/FK2n8l0ZWVYGVwVpidnQ7xuwSAE0t1Nb5uSEhTnzk4M9jvu0J9paICptbSg8LlcRO2s1sS0061bZ6zM5tAhHDEVFTgsAwEcLOEwP9PjgXYjES7TZoOez55FzkulhlJc2u23o8vn5sK3+/vZYzYbz7u6KJX1+bA7xFdls7F0v/gFS3r2LMdfdx3fL0ZFIMD3WCw6KDQ8jN0y4+VVl4Ndu1hkwYEDSj3zTGajv/NOYo+goSFu/pe+BIHddRfz5YXxZmejBKYpFixIzC4fHETHralRat8+MswWLyYD8/BhaL+ggPdvu+0yvyQSwYHz9ttsIo+HzZGTQ1pcWZlSTz89/xqhzhXE45TdHDumPekyqle6xysFc2xpSVRa3G6yB2+99bK+qq4Oem1q0qfKykKsvf664TRr1ujmu/MRBw7odNPz5zFIxsfZzBcu4J2NxXRNvtOpo3QNDRjCVitZNc3NOu3OYlHqAx+4vKaKyfB4Eo0ZQXLZdgYZGFFSgs6a3MvGbkendTiU+uEPUcCUgpYff3zyaLXNRuZXU5NuSptpPj0/cOYMvCYahQ95PNCDxcJDIrYyBUVKTnw+eOjVBJkKC+mX+Pbb0Gdd3eX10skg/SEG5blz0JPHg30dj2vFRRTqcBhbwu/nsWIFZSQlJdDjoUMc19rKw+PhmIsXMTIlMFJfTyLH1cjnDKaM6Su8icdJ4Tp1iptvNmOtybiZ/n4UPPEsy/FiyV28COF84xsQndeLsJvBCTJuN3R+8CAKuseDM7G3V5dRhcP8dCmPllHIklwil3b2rFJf+xpLsG4dn2trQ9YLrY+PK/XNb7Jnurs5V04OPLi/X/f5zc3l/B0dLJffz/mcTn5fsoO9s3NGluvKMDSUOApVKe75oUNXYJnPUTQ0THxteJiQf2Ulzs0vfQnGbDIRFZzSvO3ZhcuFnSYlVS0tXE51NXQ9OgobycmB9m02HDif+hTvRaOXIS9aW+Ejw8NsrJEReJLVyg8wm1HGMzXi6Yndu5X653/mHofDMGmzGSMrP1+X55SUQEzGiKbViiMhFrusNF+XCx/CM89ov4LLBf/evZuKrUyQU7E5ldKlT1ISKsrj88/jaBsaQkhJFubzz/M3P1+pj32MYz7/eVJV/X6Ou9pSgMLCiZFHpTJTEDN4b4juOtnrv/2tduAoBR966aVLDxswmTJZx3MdPT3oaFlZZPv6fERqi4rQP8bG4GfZ2SgwMjJchIoxeB2Lwf/icejmSvW9kpLM5LP5iIEB9CHJKBBDNScH+pOgpSjQWVk4Di0WDNX/8T+gx1/8AhoyTkjr6MBe6+pKzGy9cAFbXqb1ZDCjmD4nzp49hNGV4maPj2NtSWQiGISIpLfNZPXELheM70obKU0Tqqupauno0I21pQyqoADdX5pux2LaJyVZ/FYrND8yAp92u7lMnw/9NBTiWHHCd3VxrkBA8/RwWE/AElRWYs+fPasbHEsJl2TyGpGSQR63e2I/BHl9vuNStfXG151OekHMEdx6Kwl8TU3QdmkpeyAeZ181N2N/ZWXpKpUvf5nnCxaQpbNp07t8gRjtUgcsMJnYnCYThmTGiZN+iEb1uEyTSTfIj0Qo1zXWYOfk0DS9tRXG7HQSmYxGdUrlZUDafYkMiEbJwsnLgy9XVir1p386z+20+noWpbUVISoKotWKktfbS2atlJkdOcJnZKLA8DA1lY8+CjOYjnK0rCxSYnfv1q+5XNTBZZCBUihmHg/GtjEzc906jJYzZ3jfbqekYPFipX75y4nn6eqCp8xoU8IMUgJHjmA8jI3p0imzGeVfeh0WFWnHX24uPE4GvSily3sDATKzpQlyZSVZXosXc/4TJ3TmRGaiawZGVFUlBoWtVpSVoiL+SlCjsJDMgdJSDF+R014vQWPJEDBCJvBMZsd1dGScOLOE6ZE2sRjpKwLpttvVpZ04hYWJNcCFhaSrdnTg4CkqItw+2di9GcJ112ndXsr5LBboVvxRwSC6psmkhw6UlkL/HR3w5vFxlkBs8LExMiMrKsiwkf5R0Sj65NhYYvlgbS3HSKDYaoVfj43xXiSis3yrquD9sq/s9suuEpgZSN340NDkke/M9BYaHJ49C3GFwwju1asnb+bd1kZGUzDIMRs2TGS2aYLKSkjD50NPjkbZF62t6DYyuK67G7ru74fOi4vZa5WV79LwvraWjbFoER5Wgcule3OkpLczg/dENJo4nleYZ1aWUh/6EK81N+Mc2L6dCQvJjtKamst24MjpKipwOEpprCR3+Xw8/uqvlPqbv5nHerUEYYyCLRTCwBkc5P6cPMnerK3Vo+GNYyHb26f/d11/Pfe7oQE6Wbs2bTMZOzqoIhwawhd5222ZauQp4cgRHIfSCuDOO3UTWbsdOj1yBB7jcKAMSu/G5JK8/PyMA2c+IhKh7140ioMlGNSDJwIB3rdY+CtZOPE47w0Pk/HwxBO66WxjI69L9mBrK5GDZ56hT5Mo/2+8Qal9plQqA8H27cg5mcRaWIhNYbORwT88jCyU0o9QSJeX2Gzakbh2LeNjjT1CHA6l3v9+xtUnIzNpb9YwPRInGk1MV66rg1gknSU7W6n77ks0NtesoZ7CqMDZ7RDaLMFuxwZobITfip4n03Fyc/E1ZWejfzocyO3Vq3Gc5+Tg1Ozo4HPi8DlzBv/F9dcT2OnoYM/k5PA90SjP7Xb2wvr1ZGYaYbMRGEpuD7RsGU6bM2f4/Pr1MzLI6/Lg89EbSRjBwACKvDTOWrhw1rKuUgpVVRDO7t0I9kWLJhfMFy7Q50U8dk1NGEfve9+lzx2P0zekoQGC27o1ZSaBvfwywSuvF9+U2Qx5hMO6Sbffz5KMjbFPgkH2RlMThvXXvsaU+wm6s8mEYvTaa2yagwfZIEuWwHOqqti4GaQf7HYY3+nT0LfTqRuJyTQGaaCvFPvD7dZMtbDwilPN8/PJHIvH0X9CIejVWHExOAh/Fz/SvMPZs8jvxYt1CePJk2zq1av1+nd2wu+ysyc610TAGWv4pwOVlWlf8zYwQBsWaTs0OEic7NOfTls//uxicBABJPI0FKJvX00N0QGZdGcMNEUiOIVvvVWpn/1MBx1NJjK+JkM8Dq9qbYX3bNqUFp43txv5W1WVaXfxrpBpP16vLl8JBFBKCgrYuBaLnloo0aiKCt5fu5Z+oTU18MyPfSzRyRwM4hz63e8m9mjaswd6uoKARAZzFD4fMvbBBwkM79qlMwZcLrLOFyygVKqrC7pqaSFD1u1W6i/+QtPdli1ECE6dwoh1OJR66CEMzAsX4GeC4uL3SIvP4Fpiepw4NhuKm4xJsttRpnNzIYTrr4eYurthXGYzwuyjH4Uxud0wt7vumnXhdvfdOBq7uqDdixdR1NetQ36/733Q/tGjPI/HccoYnT4rV8LXjx9nCbq7uaz6ehylw8O6VUcspkuyQiH4uNWq1P334wsT58zmzfi8ZEqhYNOmFNZP9+xJ9OSWl+vJDIWF0ExG+yTS19GR6MD89a+V+uIXEzOX3nprYirjoUPMob+UEN+1K7EX0alTjC+rrp62n381CASU+o//QL8ZGuIypRTRamV/WK16T4mfOBLRCUsNDUr9678SvP/YxyYhJZdLqQce4BGNYmR2d9MPY82aTNQ0XdHVBTHYbBDQxYsoKB//+OTZVbm5NFTq6YEOqqqueOTl+vX07bVa8QPu3YsNaPRBZGdP1LHnLCTq3NYGL9+yhTUdGdHd/6ULf04OhrDLxfuxGJv4ppu0R0IpDJ3bbqOb+d69CNHKSsY5GwVcJKInvVzN9JY0xZEjiculFJlhHR0kjGRwCQSDbN72dnhBVRWKVmvr5KUBjY3oKsPDE8coKoXAqq+Hp8hEybVrL51V/J//yV4RvPMOn73UKOhZRiik1M9/rtX5vDylHnlkHmcYvhfy8ngYWwNYrRjPubnQh8sFH6yo0BN3a2vhnSYTsqmujmMn00ukz9hkrw8PZ7KK5yOkr2xjI3LY40EJ8Xigi8pKHCzvex8GrFLYZH4/fK2yUkdHa2uhz3icjT8wgJ22YQPKdn29thk+/GGM3LY2zr9hw8QJkxnMGKbPirnvPuqEOzsxlmIxbvRrr5FhkJ2t52c/9BBCtL6ex2U2mJwJ5OQo9T//JxGv3btJiliyRAuwnTtJZujtpSnxnj3w3Jwc+Khk2LjdGKr5+Xw2EOBYaYiplF6ScFhnvQ0M4Mu65x700/XrsTv37WNvhkLw/ECAfZmSzhuBpCQpBbMYGUGo1ddnxmsacf78xNcuXtSNjQXSONSIcFingidjbAzN34hIhKkFDz00td88RezapUuopHm+lFMFAjwfGtL9pex2dBUpM1SK97q60MVbWib2hkqAxYKinRkpnn6Ix9kj4jA4fZr7ec89OArGx7n5d9757ueZArPMylLqE5/AZzowAK9/6SVtVJvNiLR502LpV79CziuFN+s//oNFOnECIdfdzT2StNCGBp1iOjyM8HrwQTb5yZMcu2EDzOB730N2hEJEUNxuUu6kt87u3dzz7Gzu+RzqFfZukCC/UtDdwAD88Px5aC8TD5kE8bhSP/4xeunAAItlsUAzLtfkuqcEEktL+X9sLPH9ujr+SuDx3eB2JzpwlMIYf+edlB3osG+fduAoxc/91a8YQJuhsUlgNiOLnn1WN7aUxunSMLa7W5dxFxToHiSyoHK8ZEwcPJjoQNy2DSdhX1/id8sklAzmH158Ef1+bAx+YrGQ8frOO7oKprKSrITycrJwhof1tEaTSTuSZWz4z36GU8jj4W9BAZkCubnaiWM28z2ZTPaUwPQ5cfLz6cx/6FBiGnRnJxJh0ya81SMjSj33HF1KRXimiANHsGQJSUIS7DX+vM5OXZHy/vcj4OJxAjI9PVyetH8pKKCXTU6OUi+8oDNvpDmxycRek9YBhYVUCXR2ovPm5aFDfOc72O8OB8c2NVGF1NrKgJbHH5/FSNzJk4y1Gx/nYu+4Q9/7khKYwYULun7caiXKev/9s/SDUxCX6s+Q/Hp9fWJ/F6Vgzpea3DI6OnmPKZlRP0uIRJA/WVmQjc2mf6rdrvecy8WxZjP7RAIIRkVyeJj95/W+hxMng/TF88/DYAXHjpFJZbNh5BcV6fruazgy3unE7urowA+6YQOOyPx85MHixdDsZU1PS2dIl32l4EenT+s+RTabnrZitxMFGR9ngx89yvsrV+J1/cEPlHr6adJfBd/8Josq6O3l8y0tGNX/+Z+apwUCeNKkMeMcx+rVbAPR2cXp/eab8MkPfGC2f2EKor0dhSoSQamKxXj09kKTTU3QZHExj4sXoe14HJ31vvvwYEi7gIULE0s13wuyF5JhzFBOMTQ1TXzN60WvvdTArnmPFSvobL9tGw6YWAxFpaQEp199PTzsd79DFz5/XjfZf/BB7eCxWnkuNBqN4qH95CfZ7M3NmqbMZnhnJqN4/sHnQ54qpZtlh8P0ZpIsgYMHyZDNzaV3wSOPII+TnX4mkw6qNzbC66QHSH8/8v6ll1ByZjmDP4OJmN7dH4kwneLYMRhMVZUWVj6f7n/j803MMkgxlJZObg8Y+zeVlWFnHzmiyz2kV8Ly5ei3TU3sm/JyjNC8POwNkwn9wugYNZs55sgR9I2lS1lKj0dnZ4ZCOkuhuJh9+8orl55seU1x7hxlP4K330ajrKmBcSxZwgUYGwDW1fHa+vU6ojXfIY2NjQ6XFSsmMttbbyWaKGGywsJ3b8BRWgpzTnbaLF06LT/7atHbi96cn68DBg6HTijKzeU9jweDJSdHB62sVvaJ9Al0ODhHhpTmKNzuRAeOUhBBT0+i57qk5Jo6cASdnUp9//ts1dxcHPpZWdCux0Mgq6REqSefvPqp2CkP47S3ri7+SoPEggLdLMhiQTBedx3H9fXB9yVrsL+fe7ttmz5fa+vE75O6Zq93olNasrTmgROnvh6Z/9JLbAu7nYEgFgsVaNdfP7Fn3rzHyAiL1d7O39xc+EdnJ8ZOSQkbtacH2rv+euRrczPe2g9/WKk/+RPeczrRba4E1dV6HxiRwvVveXkTEz4k2zyDJIyPYyyLPVNdjVJSUkJ5vESAg0EyIlpbdWPNUAiays9PjExJj4Tz5zlu7VqdHfa5z2EcjI8T8c1ktM9PSPaAUrqUyefDgBSYzdhjpaXwwe5upT7yEXjc4CCZzSYTgmXHDk2DHk+inB0Zgc7Oncs4cVIQ0+vEefllvM3ilbhwQXuJjRLAOIopRVFSgoJ07Jh+TUr/BYsWoUj5/VyS6K4FBXxe+t6MjbEvcnN5BIO6YavFwhLJ37NnWRqHA51VllNKsjo6CAYZa+OTBe6M4fDhxOdnz2oGkJ3Nj1+1CmU9EoGZSHp9e3vG8hYsXEhTl/37iQ7W19MvIhlZWTTrHRxEAZD66kvBbEYJ/eUvdSlWfT0jl2cRWVno00ND2H1mM3upqoq9IX0Cjf0AbTZ0bXGSxuOcJy+Pkt9MSfgchbHPgEz5WLxYT/9QCuIwZnNcQxw4MNGP8PrryArRpc6cUerP/xwf9pIltKxKmWbz04GFC7VhKoJI0kuV0hNYxNNlMvHaypUTyz6N91fOfeBAYq8ShwNeZ3QeGZGmk6auFJ2diNfaWnifxcI2qKlBZxB+GQrpISPzHh0d6CWhEEbO0BD0aLNBv9EoRnI8PnGaxKlTpN4VFl79uHunk5Krl1/WjGPp0pQex3vjjfiwjH6nLVt038Z530O3u1up3/4W2jp/nmhuQQEZW34/TmuzGV3r0Uf5v6sLx4uMtnU6ecRiLHYsRuuJI0dQghwOPr90aSJ/s1ozZSwZELTIydGj6/PyEAZ5eSjQJhOyORCAthYsYPO++KJSX/kKTpuODug1EsFpKHZ7cmaX2OozECTL4MoxPU6cixfxdjz3nJ6JLcpdPI6FZcwqWLs2LTzI991HRk1rKzzaqKgLrruOvePzcdnhMPsnHqfsemCA15xOlqmnh30jU90KC3XEVnqUOZ0smdvN/yMjLKfViu4hE9kFs5bQZPQk+f0660qUlVhMz4d2OhND05mQYSLq6i7fqXUl4/xqa2HaXV26cdMs4/RpaLmsTO+F3Fyl/umfqMf/znfYK2azbmJssWh5VFKiy1U+//mUbS2QwXSguhqmKNHHrCycOJ/6FMSxfz/Wxr59MMcrjZRfIZLbYwwN4Y8eGUF/ElswJwdnjtvNlnv8cdpQpYHYe2/k5tIDYtcuLm50FKXS6SS653LhvB8Y4F5VVOjjk5Ec2bv5Zt3/yO9HQG7erEumkjMLZWT4PICUuRQUJFbVer3Yefv34+gJBtkS999PktO8rbYIBNBLV6wgoJidjbLmcsErZKxuW5s2YMJhreTF4yh2U+05smULimR7OzfvUg2QUwS1tVQ5HjrEFqyuxs/wd38HLW3ciM88xbogzAz8fqV+9CPopbeXCOrAAIvW1KSV/ZUrobnGRugvL48Fk545gqwseNrrrzO4IhymTMbvh9+tWAE/nOUehhmkGKxWBnb86lcw/PXr9ThXMRJlIu2mTdoBMzKC8FiwAPp96SVtr5WWIqslCB8IoGwXFvL5DRtm73ozuCSmLt7b2pT6yU/w6u3bh+BbsEB3Yq+tVeoLX0AijI6SAmhMZ0lBSMQhOxseumIFemNbG4anUaaXlemsyDVrMFAjEWR1djYVMM3N8HqfT08hlMwbGcAxPs6eKSvD+V5UhCGbna0rBaJRlrS+Xg/lyMp69wnT1xRr16KYKKUdOtKFXymEm9T1+nxczIYNXODVRrbmGkIhiKOgQJcbTjcslllP33a7lXrjDeTHyZPYdnl57Ae7HUUxJ4fA1cAA7OLttzk+Htf9cMxm9mdeHradUR/KYA7CaoU5Sp13MMh+qaiglFPCxe3tKNef+1wig3a7cS5XV0/LNJjly/WEQKnkkUwxqdgwm2F34niXatJolHHQcwLXXYdgbG0lI7Ojg4VYvRreXlODI8foQRgZgQkIli6d6IBZu5aeEPv3IxAXLsQbIdkTTz+NntHTg7DcsWPe1HmIeKiogM7ElyV2oPTuPXcO2jx3jkEMH//4HC7tM+LIEYSLyaTTlU6cQHj4/ex/iQ4sXMhrViue2KoqeIyRRwwPK/Vf/8XrS5fSBPFqM8jz8tLK2VhVpSu1v/e9RDXvnXe4nJtvnr3fN2s4d047/ORvKISyYqxAUIpFfPVV9K+lS+GHXV26HN5qRS7dfDPN2pVCX5aSmIEB7KUzZ8jMrqiYmWvMID2wbBl9mNrbsa1OnqTWW+Sm9OAwBsytVoRBOExQxZhW7HbT7+umm7DROztRWhYsIJ34WtknGUwJU3fivPIKRNPcDCH5/QjFnBwIaOdOGFWa1NIdOoRTfGwMR/i99+JMF/+UycSY8J074dUvv4zC3t+PMbp2LXtr5Up49smTZOVKGYhUBJjNuo+Ox8NSlZTQY0EqXyoqMABWrSJJQ0aQP/EEssRk4r1Zq0y77joUnUOHWJyqKh1lisVYoLo6FrK/HyV+wQIaRszpzp+XiTNnUBIDAW7m5s1ErOfYCIiREaW++11tZHR0EDm++WbNFoJBaD0rS2d31tTo4UPSLDY3F1myYAGlKpNN3cxgDqGhAUZYUKC92gUFpJ4np8WEwzDcW26BHxlH+1osMG1j/5WrwNatsLITJxBzZjOBrtZWnVUm9GoywQbHx5EhBw4o9dhjKTtZ+MohkYs1a7j4YPDd68YWLSLKvG8fC2e34wBKvic7dlDTYcyKEOTnI5TnIdasYUBCeztB08pK9PE/+ROSoIeHEblSiTYygq/rjTcQK3Mae/fyGBpCORIvajQKXY6PQ685OWzAaBSa9fnQT1au1GnVSvF6czMy2mzmnB6PUs88w3u7d5N5Id6M9etn8+qvGUZGoDfpBy0+2dOnsfcGBtiS88SPmoiiIp2GadTZHA7opasLHjY4iLLyyCPow2+8AS2tWIGsqqvTThwJViTD48k4ca4C0Shqg8s1R8sA7Xai+j//OTS3bBk8bGgIemto0E3ZlcJ4dThQtsXpaER3N3pSpmQvbTB1J87AAF6HSAQvxOCgbhJTWAiTShO0tCRmfPf1KfWNb+gsnLExmMHwMHtl1y6YxMqV+C7Gx5km+NRT+hzLluHnUioxC9xi0X104nF4/MaNCEObTWf87NwJ//Z6CS7t2IEusnXrjCzJu8NkYhrVrbeyEF4v6X1uN8JrwQI0TZNJ13zJBc53+P0YmZJKEo8T4qqtRVufA/B6samPH+fR28vr8Tj7qaoKum9sZD889xz69vnzyKCuLm3rSVNjYStmM7Jplns0Z3CtIVaDw5HYG+BSjk6JLJ05kzjaNxqlj8GKFVOqabJYyGK+4w50ppde4qeYTPBpYx+JWAxat1iw+44cQVTOGSeOEcn3Jxn9/WTsHj+O0aMUxox0M0/uEWKxZBz9Sdi/X4sLrxeb7qtfRcw6ndqJKJDKduk9PWcRi+lmVWfPsgg+H39lRL3VqiNzfj/KXl0dC7diBUrcPfegv46MMPbTGCFobWWT33cfDWqlEeHgIM9lkMMcg8XCpXd1wdtk4qrXq9TXv44c7+tjKR99FD/YHItBJWLFCuRIMIgcqa2F8YtSYrfD9EdG2KCSBdHcjGKzbZt2Wre2EtkKBHAC7tvHOYW2yso4p2SOZXBFaGigBczICMHBW265ssFyKY2eHrK8Ojqgud5eaMdm05HRcFipz3yGQIlMD16xgvcKCxPbngiupFVDBimBqTtxKit1IyWLBcbjdMLNt25NK0Xs9OmJr7W26iQjpXDEnDypI7GC3Fx4bVsbuoTZzPuBgFK3307Qpq1Nl4OEw+y3SITlkiDyypXsxUWL6IeXFhCFu7ycJiVDQzCIf/3Xid7eTMdF0NY2eS1QU9OccOJIdUskQnT44EH0GWnaXVam+/e5XDrIdOoU9t74OPrx2BisRXSjUIjXS0oobZmXKd3zCStWQCBi+CsFMXzgA6QOG6NMZrPeO5NNOYrFIMx166b8s1wuEufeeou2G42N6FUyWVb6oiml/y8sxG8xZ9obnDvHxcfjlMnm58O/XC5SUo2hz2PHEvumKaWzdo8eTelGr6mA0VFox27X04iVQg953/swTlpaEgchVVbyfM6L3FgMYSKOG6V002KHg43ncMAfbrqJzGGTiShCRQXK27FjKFwlJXgqOjsnfk9vL5HqySZJHD06J504p0+jwglNXbyInrp0Kaz3/Hle93g4zudD352zyMkhFX73bmhB0vIPHkS5GRvTRkCyR6unR8ue3/wmMchQW8smPnoUI0Ma+EugdE40U5sZSPbrL3+pfRTBINPdq6pmvbPA1BCJEPz95jfhUfE42YAXL1LuaSydCgRwYu/cOfE8OTn1NfnSAAAgAElEQVTwwr17eR6P64nS+/eT6rl06Rz3yM4OYjFUn5yc6VneqTtxdu7E6qqshKlZLKSfOJ0wuMnQ2YnyVlubUsxpsgSRsbHEQRlKsY/Gxtg7Ph8C7swZohNFRTRoXbBApzabzUr90R+xp9xubqIxE8duh8kMDqInbN+e8sO73h3Sk+L22xNTm3JySCXK4NJNCuZI84Lf/14L0Lw83cokN1eXFN56K7aescRc9kAoxB6TPjjhMK/l5aFnr16tp8NlMAcRjxNVb2rCOBoagsGWlsJXKiupTdq1C/lTVJQ4puxSzUincUyUBEiffx6RJg4cKZVVSjtwpK/ga6+lsRNneJjUo6Ym7sfoKEqfUrr3g0QB33xTqU98QqcdRSITBalSOl3JiLExaprb21FKb7iBhczNTSl9YSYxODhxKppSJEIrhUP7ySeJnRw7psutcnLmgaPbaoVHGI3inBzt0Ckv16V5EkWor0/MbohGdfQtHifKkDw5zem8tEdsMtqeAzh1CtqSiZIyatzh0K1dBB4Pvoxbb53jTY+rq5X65Cf1c7cbWdXainKybBk0lzzNp6yMv52dibSqFLxu82bGGsoxXi815VNtrD1PEAigDpw5A18cGkJH9HgwmmVKdlo7cfbtU2rPHpRp6Z0Uj/M4fBhHjuC9+o7eeiuLsW8facJ9ffy/cCGpdYsXo2OlUSJGqiEchuaGh/GJeTw4E6Vf/t13wy6mgqk7caqqlPrSl2BiwtWLi2FIyQpXOIyH49QpPYLp7rt1euHAAEpiTw9SYutWauNnyBu4cSP7wJgSX1PDzza2X3A6uSHr1tFbs6UFfmuxwDRaW7lRUvI0NkbqaTSq056tVnSKujpkgJSaKMXyHDuGc3XBAn5XWhqrW7ci8M6f536uW5fm3qlpRHW1JhaBw0H0Zg5A9N/BQbIU5DXZR9nZ2H1ZWdrRabWScDE8zJ6LRnlP+otIj5HSUpbv4ME/VGv29RFRGBiAH912W+L4tgzSDy+9BDMW5OTQj8Ko0NbWKvXZz+q0RiM2baI80VjDunTptE+v2rNHG9JWq+59JlmWJhPB/upq/u/pIQP6Gg/Rujb42c90FoI0+LTbkfOSWSiZD0NDlLjceSfHr13L/ZTeRkqxSIWFif1E4nGlfvhD3ZukoYHOquvWQQNr11LPNqetxIkoK5s8+118aEpB3n/2Z/BZCSDF49iLq1ZhV85Z3HefLpOSOewWC7S2fj30UlmJIzAWYxOK89dmI+NPSjdtNgSL389x4TB0+8QTLLiMDjVijvbEsdlYusWLdQbY8LAOrCQfGwpBo2mpr14NenvhTzYbjD4QILA9MoIiL1i4UDe2Nir7yeeSYxYuzJRQXSFefFFXU8TjbN3m5kRfWmVlGlU4TIYzZ1CIx8fZbBIlKi/XTVYdDvSf5AFCnZ3Y6XY7mbOFhfCz3l7oVxSZtjYdfDlzZloyl+cTAgHd//a739WTJF94AT+BbOuhIaV+8QulvvjFqfWMnp7hk2J8vpcB+o//iHIuECfPihVYdM8+i3C029E6fD7+n6EGMOXlOB5ff53FXrSIvfC971ETPDICbS9axM/r7SUjrb8fAVdWBsNobWWP+f0sTXu7dvJI6wCTCZ3UbNaZvoEAeoTDQcbcjTfymWPHCGqmZSuZyspZnIE+CxgehmbfrT+E4NFH8US0taFMbt8+rZkCs4nqauy88+d1LX0wCGPLzmYfORzsHbMZZ6U4NqUfpREy9dDlIgFgYOAP+2FkRHfkV4qN1t7ORLx5o0nOMQwPExkyYnycvTKZBjYZY8zJYQz5O+9oo+4ajMg8cgQ7MRTSwfxYDPqOx6F5r1f7NzZu5DLSzonT15dYRiJlbH19XHhnpx7HZbej+BmPr62lIbHdjkALBDBY7ryTgI+gpUU7cGIxlMhwGGG7eDG1HFVVU25QnW5wOEg0271bJ32Ulell6OpCSRwYgPTXrGGphC2+8QZ+jjlbtZaXh5P3/vtxFvb3o1+uXs17ZWW6xvfwYeg1FMLwfuCBic2y770X5ev0aQTUli3QqslEWvVLL2Eh5uaSXbx8+exc9zXG5s1sSSO2boUdt7fjlFaKpaqsZIvOabEbDkMTbjdKzokTmhe6XDyOHKHb+Lp10FlpKQaDZDRcqkFxpnHxFaOjg5Jmr1fLVauVPIJIRN8mpXjd69Xl+GkJ8UgNDOhMHJsN4/W220iokGk6585Bg7ffjsw12t5vv03q5ugoQsJYrq6UXqTu7owT5zIxPo7dfuGCTugMh/W2d7vhmWVlmkdGIthIU3FxTI8T53LQ1YVCbcTwMIrerl2aMSoFUzx7FqP22LEZ7eJrjDgIHnoI2R+Po3d+8IP0aBSHel8ffFr2V3a2noiqFEr+0BA3MxzWmTgmE4kpeXn6WLtdywQhgL4+9uSmTdf++jO4SkhT5+5udvC6dVoRvBTsdnLd50C+u89H4H1wEE/zLbdgf0nk2GbDjuvrY39UVkLfLS16YEhNjVIf/jC6cXL1hWTkyHL6fBg1CZaK8cecP58RPumKoaHJyxOM/VQuB04nKcPXCEZeLlkPkjGWlwdZSj8Jn49jm5rI0iwvT7Ntn5wNW1yMvDaZtCNHRtSEQqTfrV6t1L//u85rf//7lfqLv+B96VaeDONeHhnR4X5jCsqFC/POiaMUl7xkCfwxL480bNEpfvpTPdhmfFyp73wHX5ckJMbjxMnWrZtj2fEdHUTNxGETifD3rrsSs7XicbxcjY1sxJISnIQSwU72PGRnI4weeEBvakFhoVKPP643/BzGqlUsw9tv696o0vOmqopM9OFhZPfSpTgK5yw6OpT6P/+HDShRJaUmZmEFg6Qc19fzSMbChWzEkyf1axIZzuCy0den1A9+oIMnXV3Q4saNOgM2FEK3zMmBRrOz+VzaOnE2baLXqNTWxuPwvIEBNub583i1BPv3Q4/nziWeJxQiW+HGG3mePG1BshLndPpmIi5eZJksFkRIfz82jfC97dvfXXb+13/pqoNolO3tdOpWadKvTpziTic0OlWn98w5cfr6Jp9DODo6uXIeCqHEzXKtscfDGHGHAybg89Hvw5gRWV2NwVpaqhsJSnmIUjo5w2SCIMQgdTrh20VFKPdFRXy+pYXvM6YBXqn9ksEM47nndFgqFmMKS5pNZ7tajI0p9a1vaWd+YyNVEF/8IvabtBp4/XXoPxLB2SNTX4WJdXZSXij7w4h4HD1dmoLJMBF14A8ez2gUN3dXFx6jRYsIR8+zsouURjBIlLKnh3DE5s2TZ6yJZDM2LVYK4kgh+P38VEkcETgcyILm5sQGx9Eo+6GsjOq/jRvTaFJVWRmeV+Fx9fXcz/JyFEdjXY9SyPXGRi3Ezp/H6fP5z0/sFWHEkiX63hu1G6PWnTaLNv0oKZlogBw5QsxLdI+sLHir262dOJGI7smbfKvSCi0tWrMeGWFDSW3P3/89PMJmQ1g8+qg2QoaHOdZYXmk2c47RUYIwJSWE88W4Li2F7mtqdDjfiDnuwBGsWzd5POSuu3gMD8Pb5nQF8/nzVBJIZqdS0IeUlBr7j+Tnv3dG9Yc+RGZoVxe0PDam1P/+3wgVpxPdZefOOZ7WNDW8847WE81mtmpvL1va5UL9zs+fmPWa1n6J4mIuOitLR4/Es1BfT4M+gTSffOediY5opVDCa2p0pcSCBTiDzGZdAy7lfXMcjY1MaRd6eu45nVGtFNvU7Wbb9vWhnlRXa/MiHNZN3gUuF8eKE6e0FGe48ZYNDU19wu7MOXEqKiCW3l6UP8GmTbw+OAiBGr0Vdvus1xq//npiP5x4HCfO8uX6BhYWQuvV1fDflSt5HD7M5TY3c0M7OhB4VisC75578Gtt3QrP7uxEn+jsxPNn3HOz3owrEuHH5+dr71QGYHhYGzdGnDs3L5w4xqnBgq4u9s3Onbzf1MS2l7ITt5u9FIuxN44f11M7k/s+KAXTy8tDAK9apdTXvvYH/WbVKjbkwYNw4kBAp0U4nUo9+OCMrEEG74FolLCZ7JPTpzGWPvWpieVQWVmkOz7/vJaqdXUzmpH5Xjh+nCBXVxdyID8fkpMSWpMJWrdaoetwWOtRx47B7wcG0swf8eij1PM0NiLAHnyQqPIPfoDgGhvDGM7K0saNER4PjtZFiyY/v8fDAj38MFkTSqE3ZGdrC9FqVer666/dNaYRYjGGlHz729BSXh4q1MaNuiZfKRTJCxfYZt/+Nhk9d9zB+5dT9ZsyaG3VKdGBAM6csjKUpePHUbZiMZSz4WH4x6c/zWedTujS4UgUVg4HC5OXhxx54w3OceIE56ivx+t1/fVp3kxjaujrQxeWTNtbb9V9HOZFr/E9e+BxRifg0BD8aWBAO3HsdtKR3it4ZDKR8u/xQHcdHTpEv2YN9B0KkQY1zzA8zPaTpDrpB50MqSYS1NejJ9rt+NB27EDvNKrm11+fxlk4SunG7MkDUHJzUTJiMejywgWcg9nZeAmWLtW96AQ1NdDh44+zuUtLobnKSvRqYwngHEY8Tj+ltjZEg9OpYwNG5/WRI4iYgQE9WfeZZ2ABkrRh7BNWXa2zY5WCfaxdC12PjsI/Fy2CRqdS6T9z1rgIQpOJlfD7YVZ//Me6u/uKFRCf283x73//rCtsk02TtFj0TRQUFbEXjH17d+zQDbZ8PhiLZNgUFSUmJn3iEzAbn4+0rP37Oba6mjSuybIyZwzHjin1yitQZE4O92WONvK7Ktjtena8EZJuO8fh8+n/o1GY4eAgDG3zZhjX88+jr+TkaGNXpvuIbPH7dd8cYwKezQaDNJvxaj/6qFL2sSGlfv1bvqyrCwVfFKycHAzNX/4SbTOtpfYcgczgNsLtJoVxMgm2bh03u60NaZciTR6bmigtF53+4kVoVgYzFRWhdEYi2pEpDY/jcWi5tVX3gUoruFyTj9a67z762TmdWgDm5ycaPILJRiyNjBAG6+rieW0t2lEoxF4+fhy9wOVCH0jrUOp7Q8bhnjmDrrBtG4/WVtQnyVb8f/9PqW98Az4rrQ1GR+G9hYWI65MndfCoqIilPHUKX1xBAUrkAw+kiSF+4IAWDKOj/O3rg34aG9l0J04gdxcuJDTa3g492WwoZF4vj0iETVhby+s2G6PHlSK1Tmi3qwtd9MABej7K9Lt5hOFh+kJK7NXthi1//vOT23jSD7KoaA4lK3m9yCHZbLEYm9NkQsl5/HEWqLpaZ3zJphoZoZaxpYXXduygFjIex3hWKtHQaG9HZzlzhpL8tGyGefk4dYpkkVAImXj2rHZAv/GGUh/5CKrA6dMs/8qV8LeVKzlWYDZjlnzlKzrOfMstsAGvF76ZImrE1WPBAgxCCXKEwyxWRYXOfD15UvPJQADF+2MfgwYlu7mwkB46SiFj77575q8lReD3kxktdkw0ypIZW7mOjGCTWyy6d212NjT5T/+ESrJhA3J1fBxVpaCAFkUuF+zg4kWljh6d+P1e79R+/8ymVNx3H8p5VxfCsL5eTw14+mkE5bJlvL5tW0p4ASsrddNuwfLl3ECjJ/iGGyYfvGQy8d4rr3BpHg9EYmQmUgpbWYnyJuW0Ph/8+7bbZlEYut0wDGEK0r2pupqwXwZ68tbx44mvz4O+DYEADOrcOXQcjwemFAxi7Ipt19jIdpY9YzKxDwYG+LyUGiql7TxjKYrTidypq1Nqy3Uxpb73I839+vv532xGIAnfaG3lCzJOnNnH0NCVva4UN3316mvze64CR4/CCk+cQHiLopmby/+LFvGTTSYE+O23E2QVe9Bk4jifT6mS4rgab+hSucVRImLpXPa3bBkjd48fZ1OvW8cm/sEPEo/Ly5u8JO6ll7QDRymMmN/9Du1dKZTW7duv2c9PJcTjiFdpYRAIKPWb3+CPzs9HZxdf1u9/rxXP7Gzeu3gRPf6661juw4exOcvLYYutrfDotjZUMBkqZpyYnLIwhjVzc9lQMsrQYmFzZWVRy9vezp76zndQph55hP4PZWVYjJ2dKGHbtpERIZNdlEqMShjTQnt65qUTR7JkjfB68auuWKFfi8Vob3n0KP8XF7OF58Rci9padAmfjw0Vj6OoDwzgOVi6FKHwb//GYplMbMJ77lHqxz/WNbcjIyhFTz8NLYoz0hi1kr5gklE8h3HiBPxN8NvfosJJ0Doep+9SVha6o7RJe+opMg6lb0k4DEt45JHEQgHpbzKn8Ld/y8K89hr8Ly8PPvX1r+PkkXQSqTFbuhTe+ZWvsGntdp22lMH/P4AwHsfc9Xp1r+fVq/n/2DGWOjtb2yuVldDft76FCPn1r5Gvwh5KS9EDH34YFtHTM7kTZ6pdAma+LqaubvJfXVmZkqmDt9xCOZRk4JrN1MUtWqTLSJYt03Vvk+HGG1G8Tp7EnhwYYB9lZ5MoIMvR2YlSpRSMTDJ1jhwh/XlWcP78REESj6Mo3XDD7PymVMS99xJ6OnuWG7ttW2Kd9BxEOMwIvZ4eZITsk6oqnovx2tuLjiyToKUXmyQvSTBBKT2WWRw4FgvLWVaGp/vLX1bKOdCqHTgtLUSxZCZ5NIo0F1f5VGb3ZTB9kBIaKY8SBeJSpTUpCAmaXrwIncsUNasVum5u1lOw+/vh9zKlwGrVg5sspqgqaj+urL94VSnHH0LWjz2W3k5xGf3e3s4C3Xwzk4L27oUR1NYq9YEPTFQc43HdDdCIhoZr/pNTCdEogZ6DB6Ez0b0tFvRuadApAaUXXyTjJhKBh0oLIYcDhbKwkNelyk2SpDweaDcvD6OorY1zPPxwGrDKFStQkpSCt9fWQlvSA2d4GEWrp4c9tXo1G7C5mZD+HXfo0gKluPCREd0xf/ly9B1jjaPRaXOpuo45juS5AZd6/fBhHgKPhxG6X/rSHMjIuesuuoeLUiJplV4vfFuCm6LIxOMsRnb2xKZpsRjW3H334Ujs7MTL2trK+8JLV66c8z1xDh5kC/b0oMLJ4IvFi7WoePNNeJf0Ic3OVuq//3d8GXfeyRZ/8UVUwZdf5ti1axE/K1fCA8vK0sRn4XbjKKyuTuwdF4vBwyRQ/OEPw7C9Xm2jxePQWm4un1+yRG88GXu8bh3Coqvr8no3zQNcvMhSvfkm9CdB5FiM4El5ubb/xaYJBNiu2dk4b1avht8FAshVsXeefRaT8DOfoXPMTTfRd1pM6s2bJw5SulJkmpu8BwoLmVZ89iw3aPlyXZ5/002Xfx5jc7h4nH3qdCZ6jcUpn4zkfiMzCpn5bLEkSuJ5Uip02bBYSJPdsYPnbW2UCEgX3i1b0jvaPglOnyZivH8/hkI0yuUuXJgYWBe9R3wswiTz81mS3Fxo3GTiPTneZOJveTlTXT/5yT/IHPcfThAKIdQkciofDgZRvrduzYztvNaIxVBCLRbdE6W2dmL4tbiYGyoSbMECpZ54IuWaFU+GeBw7sLERtjc0hCwIBrWDJhgkoiO+3L4+9Hpp0RSNQuuhkFLWcFAdbStSexfUqfuXn1cWr5cQ9hNPzPalXj1+8hO96QcH4X+f/CTRP+lsPhlMJjxfycJvsrTWOYzf/15HlGMxbbAsX45e7nazhNnZ8MCODq2XS8++UAjaW7UKmjt5EsUyHtfOm0BAT8UU9PWliYFz/fUsxMmTLNLmzcjbN99kYWw2nIiDg1hxxnTnpqbESNiRI5QX+P0IoHvuoQ+XNG3r68OIEg1748Y5X8Z3KaxcSUNOI6xWgvmRCH7aM2fwS9jtiY2zL16ElktLcVKePAmtbd5MgDRtVKKSEuhEvKESabJYqAeqrU104MRivNfcPPn55Nh774V31tRAd8PDRIU3bJgXJS59fWQ5iE4oU3xl+To6UC9E7iqly5B/+Usc3r/6FWxhaIhbYrXC744cQQ2preXWffjD3Lr9+zm2ro4A+7v12b8mOHUKx0t2Nnzq5ElKOV99lQ1TWkoW16c/rQPBe/bgxBG89hrytrg4McguY49FoVaKTSkNis+do7eBCIING/CEiRyeZwiF9LCAnBw9gMhmQ7b6/TgAXS7+b27WepzDwWeGhridDofW+WIxzhUMogr9x38QKNm4EWeOzPaYjsTOmXPijI+zK2d8x0wdWVks/nTBZJq8Bl0GKxibIyk1i/1wWlpgHIcOQbmLF8NBXa45mKM4jWhpIYVWJFNbGyHUe+99789KYzKXK+WjMB6PUvv2Jba+EA+19AFRCkYXiUDXxtZB0vtGstKCQZ25YLFgrJSXkyUqY02VUmRvjIygvPf0sGkKCvSJa2uZP/7II2linaQpBgaITno8KCJSSmOxwODy8qDjG24gbzoex7E2Ooo2NVl/FKV0J+AU6PobCCj1wx9CZn19bG3JvAkGtd/Q6eSyz55Fr5LGeAJxYMbjSmVbY6omb1id7C9TZc5RdWNNp25qmY7o7k702irFxR4+DM97L0vthhson0p+bR7hxAn+2mx6vkN/PwFVjwcF0maDp0oGRCyG00ZosbgYvd/j4XHxImwxP1/3G3M6OYfHg69DBjGkRUzGYqGBz513sgjFxdBdby8XZTLBb1yuic0vjI1Ae3sJ3Rv76/zqV4xT/NjHkC2xmHYI1dZOPVyaxqipwZ+wZw/LnpeHv8vppLxUSgTGx1kypbQjJxZDzu/ahbEueP112EJazX1YvFj3TRLYbFhjksY2OIjDMBBggR55hPeMJXpKaaN6wQJSldrboW+h27RPXbo8hELQSCyGOiGl+K+/jolx9Cj2lyxfPI4czsvDeZibi6gZHYXHxeO6rH9wkPdqanj/Bz9AdksycEcHqvnTT8/QxY6Oosz+7ndccF2dUt//PoHGvXu1DPX5dP/Av/s7FOQjRxLPZbXCp2REkuhSxcW6YXFuLvR1++0IgWCQ2jVRzEMhlJvdu1G0ly+Hv6aFMJga4nF8ZgcP6pk90ai+9Lw85OfoKOIiEtH0JbRYWMhro6O6fV8sxnlk+8Zi0FgoxPft309PzzVrpu9arr0TZ2QEwmlpgUmtX0/UIzPhaAIcDkq1XngBGWA2E7GQnjkzirExpX72M4ypjRuhxM5OyoTuuy8tnXFXBZkdJwW5p06xNsuXo9lIDb7fj7ctP5+wVbKBeuwYkcB383Y3NtLVemQExr1jx5Wle80wLBbN/EQuyHTg5ctJknG59EAQIRmLRTcH9/t101cJbNntHOtyUVOf4MBRirU0mfhwLMZmcbkQhn4/zVefeWbeRfNnHC+8gKQzNgJtaWHPeDw4bHJyqAcZG4MQsrO1pDx9Gl4iiEbR9qW3ysKFEMAspvzu3584VbutDQdNcTGkJ70ihLY9HshzdBSjJhJJbKsRiSgVVBY14rcqVahUo6cYJ066pTV7vfA5jwdDJhKZKNOTG2lcCjfcgMJ5/Dj7euPG6dVy0gDi5/J6oSu/n6UYHKSK6Nw5naUjDeKVYistWoTefv31Sn30o7R82b0bdlhRgWPR64XHlpXBb8fGdIJUZWWa+bqlXPaHPyRiEI0iA7ZtI8zZ2Ehak8BiIeQuOHduYol4NMrntmzRDp/J5mrPU8jSjo7qDNpwWDsflcKeHByEX1ZV6enZ3/42xvjSpYls7tixNHPifPazWGKDg/q1igrteHE4SEkS2gqFkH1PPUXmRHc3G3fHjsTIrNmcVmXF04mqKt3MeGAAnpeXR2bN66+TIRGL4biRPoqRCHxM1A6JdUpFkZSXSva3oKUFp7dUqymFI6erC9q9pojH6c/17LO6t1d3N3xscJALFgSD2nGzZw8MerKaxvp6NlRdHReXkwMdlZaSBZucKdDRoRV1pXA2ejwsVFkZds5vf0sd2hzH8eMkhQvy82H3J06gzvj9LLnFwrJKYETiBIEANCkmhvTUkaIVm43PySwgu51HNAoLmepYcSOurSelrU2pf/5niFRGhR49ihCeYJlloBQOm/p6vH8FBbNYp37+vE4Jcjh0Wl9tbSIXFITDcOKxMdJB50IzWZ+Ppi8XLyJhzp1jHRYswAB1u7lu6c9iNpOzaZxJLxDN/FJOnPFx8kNlzcV1W1WVsgK+uhrSkNR/pbRR8a1v0a/0lVfQs+vqYHDd3TA7hwNjWBw4SumyE5uNcy9aRCBrAt5+Gx5SV8eJ3G7dTKeyUqmPfzzjwLnWCAZ15Ki/nz0iaVQShhgZ0eGJnh4Kj0dHUWxleseZMzqrb//+xIhTZ6dSzz03q11XOzqgU+mdWlzMTy8u1uUpsRisQvo7NTezBIGAFu6CaFSpuN2imgdy1ZL8QeUs/cN+Tydr5tw5RiMFgzrFaHiYFHBjBPlKog/GeuN5iI0b6R8iDY0dDlSm+nqCpJEIdCVp3KWleqm7u/F53X03NsH27diV3/42CXKBgK4qjccxZIaGEDnFxfDsQCDNArB79ugeIhYL/N7rJVti0SKMknPnWKytWxNrfC51oWm1ADMPmy1R9YvFoKGhIQyUwkJitF6vzg7LykKV7OvDCCor000/U74HUzJqawls/su/IMOCQWjt619nA+Xns1ELC7H0qquhTa+XoFIwyMKkTQ3ZtYeUi7a1odLJqGaRpRIXqK3lmGhUl74Egyz70BB0JpmKUmYqfUm6u+Gh0jcsGZOp61OGBHHffhs+5HYToO3t1XWxFgv60NDQ5E7ltjacfzk58Lri4sRNc/PN9GpqadG9dLKyEAAyOtlYypw8llwcR8ZFOXt2XjhxjFPNBFVVBEzeeovtXV6unS9iltXUcNvOn4eeJHaVnQ1dWizQqqjGMjjA6USXlP7o04lr58TZvx8rTpTyri7q71wuVjDjxLkkbDaIZVZxqdDcZBlUIyM4O6Ro9ZVXGKlVWakLCtMRr7+u51/39sJoL1xgt5rNlJotXJjIMHftwphJHqdcUsJrr77KDd68OfEmNzdPrKNTCgGQok6cujo9YEF6Q1qt6DIyKeCDH1TqH/6BS5eEpkhEl6IYJ1AppfsFFhXBLhJ6SUYiZEIdO1V1rHEAACAASURBVAZnrahAcC1ciDTftIkoV7plNaQL3G5K2AYHkXhWq87Qk30yOoqT02pNLIeqrkbZOHSIG+9yIdGee477VVWFQycZXV3c41nQ+AMBxNeJE7rdT2Ehr589C9uLx2EFUoKek6NLYqUqLBkRk10F8spUT9Svtt0ZUGrnkym7xydgzx7y0hsasMysVu1l6O2F59vtZNfMSgppeuKWW2hVYLdrR4tSJDGPjWm70O3WQ9sktmA2w1f37GHryfDPJUvI0heUlUGnYnTb7WxFGdCQsj6MU6eQxR0dOjvvwoWJx/X06C7OGzdeugZ+3Tpkt3G8aH5+4qileQq/n+UeHycW926Tpfbu5SFLXlKCSiM2pPTKUwofr0x2t1oxrI1+tZRHTw8lT8XFSv3f/8vM9c5OvKTGcfcSgjdm2oguPV+y168Ay5ZRdSu+BrMZOurv5zWbDfE/MKDjBaOjvB+P87/dDk1JdmxpKXLX50MmNzVBbzfdNFEeZ2VNc1u+gQHs3vZ2GLHVCuPduxf9R+qvx8bQj8QzOj6uG5jZ7SgZtbU66FtTA/MXL+ratUrt3KmbU7W2oqxEIlxweTkKdyDAIn/wg7xWX695p8XCghs34jyh0UvJuiefVOoTn1DqH/8RmhkbQ48bG4N2JEtMgs9SPiXV/+vX4wOrqiKQLZVuMhkyJwfzcDpxbZw44bAuehUrLRpFCK9enfK9PjJQZJy88kqim9rYIMuIN99MHBUsvXS2b4dJ3XJLekWaBd3dE18Lh2GMOTlIiWQP+vg4xovHo9O2i4rY1c89p8Onp05RHLlsGc8vxVXEQZSCEF9UNKoTMZYuRWaJUJZMhbIylkamchqZYDIk49PlMmSExmJK/ehHZEC1tkJvFRUo3j09GMH33kt0IoPph2SlieHT3c1Nb2lBeklhcH4+N3r58sRsqNJSDH/Jb45GtcV68iT7YzIFQkJzs4C33kJgNzVpPX1wkK0vDbpFvMn/kYhubifTq5JhsSi1eLVDLVixUlU8tVKpdBGHIyPw9WCQex+Pww9HRnDEOZ30FXG5YA5Xi0gEmpBGRB6PrtG8556U6JU03ZCyJmnt9c47XHp7O0s5OIixUVyMc0aG3gQCuvz0Bz9AnLhcVAbZbDjCpXevywUtNzcn9nt3OhFHKRdXa2khPenFF/EASFPZ/fsnLzMWz9R7ITeXRhivv44wqqrC+S9ThKqq5k1PEqWgrcZG6O7tt7XKt3evUu9/P8lN585BY+vWQXv//u8koIiz2m6HXv1+aPTIEUSExFNMJmh8cFDbsT/7Gaz9K1+ZwS1tzBSNRKCxixfx1IfD6LfbtiXS0SuvJNZe1NRwcbGYzsJWSteDG8utcnJ0FntfH+cSL+sdd6SP836aEYvRhkriNgsXQkdFRXrAhRjPIyOoH/n5vOf16qFg0vpl2TJUv898Bp75/e9zOzs7OU9hISwjECAhpqcHen788Wn0W0Sj9ML0ernHR4/q5sUSnZQS43gcmbZqFVMbz5yBr0UiMGqrlUC4QCZ8fPWrLE5/P0pJURGlo7/5DZuvoICL6+qiNNRk0tHTp54isnrokB6t5PUm2hhbt07TYqQ2tmxhyaUbQ0cHW/XwYdSMxkZuh1IsT1kZS2ux6HilDF8xm7n1zc3Q2Z49OK17eogrnzqlS+qHhuCp04lrox2PjurRHSUlOm1rbAzCFVeUDGMvLk5MMWxshNACARjg9u2ZFMSZRlYWbkmp5TU2yBLrRLhfd7dWtsNhPUN9fJxd8tOfco/Trc/BggVcl1IwUHFU9fZyndLwxYisLK714YfZyX4/x3z2s3zOaiUrobYW55c4cZYs4fuMuXbT3VH7GmDDBpjf2Bg/1+tl+/7N33BJd9+NvuJ2I6il4iY/H2GbHBkxmzlPTU1SIL+hAcvm7FndhKehgZN/6EP0wZmDxl3K4MUXUUrMZizAnBxutt3OzSwr0yExacYhoybWrcMor6xMVHqleYJg61bdGVOwdu2sTU04cAAxJAMfwmG97Y2DSGRQSTyOgJe6fRHwRkellJ+XlrL10yqeIeHR4uLEjStNZR0O3fX5ahGLoQi3tcEvGxpY8I0bdbnuU09N+VJSEfX12JKDg2yd/n7ox+HQwVup5B0bg8Zk+x06xPPRUZ34Gg6zdYyJiYWFONqlEq60lO81tmRICUhPvoYGflwwiD5hs0EXbvfENM5t2y6f9kpLCSgODCBXfv1rNmZODu899ti8yOg8fJjEgXgcuT00hEwX1e7HP4ZmLBYM6d/8hiS7//xP7c/PztZObCmJcTpRf5xObkk8ztKKv19s2N/9Dhr+sz+7xir+2Bj3uKmJH7VsGf83NtJASkrdy8uZEviFL/A5j0dbcwLpLWKzJU4iycvDAnS7OVdVFU24ZWrDD3+o+6G0tOAlW7OG4265JQXS72cOx48nJt6uW6cHW0QibL3sbGhjbEwPDxCjOxRi6zqdbNvFi+GTDQ28npXFQ/xnSiGbKyq4TVlZfPaddzBRt22bhotqbYVejh7VniefD93H6UT/EXsiFuN+f/GL6K+yIU6dgoG/8cbEIHJBATT7X/+lZe7Klehmzc16bKbUK46P60Bae7vudH/DDTzicQSH9KLbsGHeOHFqamDxe/fC/5xOtv6BA2TQeDzIVSmZj8dxEJ4+jfgxVsBJI2ObTSdzms3I77IysnN8Pl67/fbpz0C8Nk4cpxOiaWvTrcdjMVbE68VVdeQIu008j/ffj3bR0EDzJ1mhri4+czmTfTKYXixYQLaIIBZT6uWXYVKRCFb6/fdzj86fh5qFcVVWwtTEaPv615kTfeeds3MtV4NbboFpjo/rXPS2Nj3ar7paFzoKbr9dW2b5+Ty++U1dXhUOsy42W2LjMbOZyRj79nHO4uKULQ2Skcs9PQjPvj5+vtfL6+vWQR7HjxPsXLqU7d7QoBvOVVRgnx8/rvsTy2SWwkKWNkGncbv1BB9xDkuW0xw16mYN8Tg3q6ODdQ4EKBOUSHVHB3+lO3UoxM2UVN+tW/HeSQdWi4UbXVSE9iTRKJm7vWEDz1ev5rsPHtQO/B07ZvbaDWhs1Bk3kjQUCun+OMlZOErxXIbbTGaUmExKFVp9quLUAbXzRrNSA+v0zNRUR1mZznevqtION4cD7UUmF14OpAtl8iI1NcFjldL0NjLC/i8rS1RG5xh27mTLdHdj6GZl6UqMeJwlGBlhuaVxdn6+9qdaLBP92Js3s5UuXOB899yD4SLZEEK317yx55VCevJJ7a1gbEyXG3z603ghQiF4x/r1l3/+7m6yfOJx0kw8HgTZtm0s9K5d6CtzGMEgThRRtcfGkMWdncjsWIzbUFkJy5ft+tprLJf4IyQBRSnt/MnJ4f/xcZ2I7HZrupNjZQp3c/M1nMLq8ZDuc+wYF11SwpcvWYLVJuNmxsfhOT/9KfZGbS1KTnK2tVK6ucXCheglJhPKUH4+elxy8O38eb1g8biu0bVaoeX2dqU+9an0kQVThLSzEphMqA3vex/sfd8+nDg+ny7iiEZ1fzpBMMjSXbigx9kHAoiRVas0+3A6WWoZGitZPEqRZDUtThyzmR/g9/NlMuVDUiEdDqVuvRUvUiAAnUjmuMnEBW/ZwvOsLH6spPKaTDRnf+EFvQDxOI2Iu7v1CCWzWfc3MDpx5BzJi75t2zRdfPphyRICJp2d+rVgkOWMRlFnCwu1AzEvT6l//VcyXv/8z3WOgkwdVYptvWoVapDFAnsRFbi2lvyVvXtRcQoL8aVNdcz4tXHi7NsH0UqIUimu+O67Iey2Nlxa113H1Y6MIFD/9E+56mSmefw4uztli7bnAUZHybU9eFC/1tREtGx4GAkthYMyksUYdc/KIvNkXZoYLV1dOBvFu7B6Nbu+uTnxOKeTnWixYMgku1klr07oXNDXN9ExmZuLlp1CkKiHtCSJRpX6p39CJxGbvK6On/3ssxzX3Iwu09OjBxW1t3P55eUwyv5+mNuKFTBRaf4lutXq1UlT7CsqOMHgoFbqc3PnTQ3vNcPYGCExnw/+WlWFYSRhsnic6FBlpe7WJiN0Kiu5SS0taFFbtyKZbr4Zvm9sbr50KcesWweBXLxI1PLhhxNrO9asSZmMvZISnfEgFcHivHE6IUPJuJGsG3HsyKQCIywWpdZaTqu/6/lLVZPvU2Xftyh1qE6pL3958jLVVIPLhRL6+9/jHZDuuEuXcg8/+MH3LkOJx/HsHjzIAi5fTjq5eB+MpQhGiAE0h+F00sP7lltQEgcHeUilYjish7tJ02wJvjocLGWyD239evip+EuFPn/0Iz5XVIQOL7ZDykBKKCsq9FAAsxnBYrNRhiIPpRKnrggOH0Zn8fsRNDt3ah3yxAmtZ4qeEgzq0XPJcn4OQqoUldLJ1ePj2qcxPIzx3NvL62YzflSJvYo/Xnidw4Eu0N2NkS4NZuNx2P7IiG6RabNp8ZCTM/nwnWlBPE7/mkOHEkuBw2Eu3jj621jzIBkK7e08pEmxYMMGNtbJk+jB4TCO5U2bEtM/BMZ0zOFhXbMmNBiJsDh33z19157CuJQPfskSaObwYegxN1e3mLTZtAot7VzicW6rx6P74mdn87l33tFZFEpxW6WEJj8f3mg2T0NjY7+fHywPGehQWMiXulxsjOxsLHaXCx3p+usnP19/P7T55JO6znHNGs6bnLru82FLCA+T0UhWK98tHoIlSyZOq8pgglphscDXpHxeKWSm3Y7ZKtk0a9dya6SqPDeXc3m9JAyvX68zXSMRbr3TSTKgfGdbG8d++tO6B97V4No4cc6eRRBu385VDQ3pcL1S7DilkAaidYRCGAOTKWvRKNIi48SZeYyOUrza2gqDkqirCLTGRiJZMuYiEoGxyEhhpaBeYSYdHanvxBkawt1qZJitrZPvNJuN1NxLdUcTo2b5chyXoq0UF1MTnaJInvZcVYUO/N3vYoMpxaVJyVNVFaQgW7ujQ6dNNzRoptjfj3yRXrXFxXy2uFgv4wc+gB6UYA/W18NJk8cWZ3jC1aO3Fzpvb8crpxQ3QDQiGRMhBeiLFnGspFOtWsW+LinhM/fey+cmK2m4/35y8JubiVKuX4/nb5b63VwOiosRT+PjWlBnZ+O3kvG50ttJshrkcow9UwVWU1T9t/hfK1cMwyHL8odC6p/8hPrDdCgZ3rGDhfna13husWDIlJcnOrD379cGtPSycTqRIcZuu+fOwROffJLnxvS78nJdgC4K6KJFczILx4j6eqU+9zml/vZvdTTaYtFNO0XHVyqxuWJtrXY0ms2oX0uWcOzgIMt8/jz8u6YGMZedzdKmXFnfihXQi2QsiDCJx/E6SQS7s5N8+L4+BModd8BbTp6kzEAgJQ6PPcZzY6AwK2uiFyHtRiddOYqKYNVuN6pJMKj986tWsbTFxbrULhqF74nDJycHficlpg89BO21tcELlyzhnB4Pqv5f/iUxv337tIgoKoKmp3PkrvL7Yc579hCAePVVXcYiGQ/RqM7qEgj/NZtJzxA+EwiwQJLpVV6ODLPbsehuv53vO3WKxSouhm9J75tVq6Dn3bt1HaP8FqMuPJkjco5iyxa2pNGBsmIFSzswgLp96BC3qqYG9cHtRmVJ7jOXnY2vV8pLlWJLOxx8NhYjfnTuHH4Vjwc/Wn8/n5OOBleFUAil+MIFXZYknqNIRMvLP/5jHIEyPmsyWR+N0jdTRhRarQRGJFPZOAZWMD7O90hUKRbjczfcwAbNzmZhp7sRyxzBsmXanlGKpaupgYXI3Aal2MLbt/N/YSF0EwjwMJmgN5ntYDLp6dLr1+vASWcnWYzr1+sOAcEgKtHOnVd/DddGg5adZLPhujeZ2JlilcnKJE9AktC8pFELKioyXsTZwgsv6NxHkwlOmpWlpa7FghQ3m7VDLi8PDpqXh+VTVaWZ1lRzx2YC0uTOiOHhycemZ2UlZhIkIy+PtWpqQvkUjfyxx2at18flIHnac3e3Un//94nGqQzrKi7GLjO2EAqHIZX8fK2bSJKWjHrMzSWZo7oa38FXv/ouLQ18PrRCqVXJyoLe0nXyWSrgtdfQohobtVHT2Ah/7uriplgs2pNRX68bELtcei9L/f+mTZfOxMjNpYtgIAAvSDmrcSJycxHe4reSbOcHHsD3FQoRIZQeODJO3GrVok1KrcxmpWosXaou3qYKoiOq2GZXVnOuUsqM1eP3J6Y+pzIOH9ZTwwS7dzPu9O67UWZ/9zv93pkz0NnHPw5vTUZrq/bqVlcToTxwQE+9isfRI1au5DvmAe64gy3y13+NMlhQwLIODrKUss3MZi1+Bwep6LjtNmzMvDwMpZdfZqtLlZrNBl2vW8d5pJqouHjWLncisrIwjn/6U+6/w6G14cFBLiAYxAEqDhifD0dxcTEXnowLFzSdrV8PHcfjeL8aGvScbKVmtYxzppCdzRL/r/+lKzEWLIDvDQ9rtW1gAD42NsbfggKOz8tjuQoKoNfPfIZt29Kim2hLhu3Fi9yaz3wGsfLWW9zS+nql7rtvmuY39Pair/b0UDpVWsoP7OxMNJ79fn5gUZGecCkM3mKZmLWwbBkezzVr0OVWr05UVNxusn0kAP0v/8K5y8t5fugQTurHHoNPRqMsXk1NIs9PSD2e28jLIwPh0CH0zL4++NC//RtJmu3tuupodJSlefhhWku++qoOrEhv/QsXuA3V1dw+jwe6rKjA/9bTA+2uXKn7Mo2MIM+nlPx++jRfLGV3kho0NgY9nTih1IMP6gDHu+k9x45pB45SbLIXXyQI4nBoj1Njoz7GamVDNTVpmszPp8zvM59JbPWQwQRUVeHf2rNHxyaXLycIPTLCkv7RH0EjQ0Owj1deQRT5/dCnlNwvWaIzEj/4QdoanT2L7SSlpJK9uHixjlcZs36uBtfGibN1K8xUUFLCFYpmW1mJo0aYnLxWU8OqejwofqK8feQj1+RnZvAeEO4oqKyEyVy4AMU7nbR8DwZhZpKOWlIC1UciiQ65ZcvSg6mIAycc1saK00meeyRCKEl63Nx//3tH0D/yEWpXJRRw/fUp37D47NmJr7W1oeQNDelInFIwMpmWuHw5Aljq5F0uSEUYnUSOs7OpyFi8mHPIJIJJg+wXLij1V3+Fy9xq5V7U1qIBTuZYy+Dy0Nur66cFoogMDnID5WbLjbNa9Z6X4yMRel1dzkSXNMqcKilByVu2DBqW6QSHD6MjNTTofiThsHbmxOMIayPNO7Jj6gn7r1RpcFgVZo0rV1Qp1TeqAxQp7NCdgLNndYaMIBhEExInTjLa2vQIu2SIl0tw1104BHt6kP/v5iSfAxgdhcWJUStqUjCYmHGfnY2RLGVRxsQBk0nzzrNnEVVtbVSpt7XpdmKjo5zn7FlULWGfMl8ipSBNB5KzYlpboaXu7okZNPE4ushkYw+V0q9XVyOX9+zR/UxKStiLGzZMc2pI6mLdOgxbj0e3nxwYQFWx2aCRwkKMbLsdNiUNP6VcYN06smftdhKkTpzg88Y4mExda2jAeH/qKc5RWDhNCYjRKA6/kRHoQ3oX1tfrBj3iUTeZMHz/9E/5kW++iRGsFF6t3Fzd900pji8q4lyFhXyXzQZ9nj2LV0EsvuFhFnBoSNdfdHZCkxs20PcmFuO3vfACcjY7m4WbJzQnyMvjNrz5pvaZvfUW4qOkRJeORiJkEJpMlJuePAk9SuCktFQb2B0dnKuoiFt18CC0ODICfbrdqI6rVpH9MOUWnTLsRFItjM2igkEs/fPnoZP3ctIlNwpSiovs7NTpQg8/jALS2soFyuCgykqESDTKZrv//vSwtVIA27djjg0NkTwsMzgqK3m/uZleODKI89AhPSBMJlNFIoiiggLK/7Ztw6/b0ID56PfDHnJy0CVbW1FtsrKmmAmmrpUTRyKy0nRuzRoI+PXXIcj6ehrmNjUhNerqdB8FqxXP5V138dmpFItlMDWYzVCepFKUl8OQRkehzKws/kpvI5+P43NzuZ+LFyPRZTRRukQaVq9Gshw/rvM9fT5279at7HKHgx07MIC3/EMfuvT5HA7C9w88MDO/fxowma1tsWAMRCI6w72wEIG4aBH6sAwm6u9n+axWXcdstbKdrVZ8uuLAUYqlnDTZzudT6h/+Ac+QhFB8PhwQS5fO26Zs0wKZIGWc8pKfj1RqaUHxiMV0+nhBAWHTlhb2dWMj92PhQiKM8XjK9LOZDMPDXJLFwhaXIGgshs4fDkOTEtC6+WYuUUpOlILOW1t5XliIgE8unZKgbl6eUtlZMbXC3Khuju1Td5ecU7mmSpV7sVWp2B8mrAUCZKik00jjsrKJr5nNl+eI2rgx0UBSCn0guSPvggWpX3Y7DTh3jgx68aOWlEAO4hQ3or6e1956C3IRGyEaRfx2d0PT4TCDcPbtQ8WSacgizmUstNvN9zkcKdjYWKmJU0sFubk6o1UpBJLHw6IUF+uJeMl0VlubGCVIof5bswWHA/ZuNqOui09fhg3092PMjI7CqmpqdEPtYBCeunAhfLO5GXX+hhsSWwo5HLp1kbA5u32anYbSdE8mTkmW4MmTmo4kO6KwkNLfe+7hB4leJjWxJ05MpJ3ubkZzKcUmWr+e8qmhIZ0asmKFpi/puSOKlDGYaTazkF/4Ar9T6tLmIZITM6XPXHL3DBkmcNNNZH319nKLWlt1FpmMJl+4kEnaX/kKqorwO7+f2xgKkWh3yy3TcAGLFpFykZMDLUhJk9S0+nz8yBMnUDpiMRx67e0ow5s26TQ0yQJMhpFnWa149sW7f+6cUj//Obyttpbzb9586X47GUwKKclLboXm92P23XwzfPHYMVwYcntlIp9UZ9bVwQt//nPosLU1cXpVQQGswm6Hp+7YMXWz+Npxjo0bJ2YbJGfUSK3fZMiMC559WCwwBBmxKAbfjTdqN+XwMI6NsjIcPDk5uDZl1lrKdUx8F0Qi7NK2Np12qxRMdtkynu/aNdHbcPo0+XNTGa2bQpDsgbff5nl5OcyppgaZUVLC9gwGMSweegh/ntutE+iWLiVCItE36YWzdSu2mckE6SgFQ7vvvkns2KEhpb79bbhoKMS6W606l/bmm5PmkGdwRbjjDiKC1dVIJpNJTx1aupT3bDZu7vAw/0t/Ab8fhVkmhY2M0LWtoiIFQ/r81Gef1cmCv/89UTivFx1MBLLTSfqspGEHAixNfj4Z8XV1Sn3jG5yjvp7MCCMkQyInB/3ugciv1Rp1Wt22tFPl9jejLSz5Q5aJ3c44Wym2Thc89BBaitEwqalBLiiFR+H0aRaishLNRXrZbNyIVv3223oC2VQKwtMY0Sj+f2Mi3OAgzpd77sFOfOutxFYZhYWQS1sbJNTXh5guL4f2mpvZkjabztwXo9zp1JHD0VGdlfPggylqQ65YgcD47W/1a1lZBI0qKrTz+cABvbGzswkQrlyJVn3gAHS2bBkyOoMEmM2U33372zpeFY2yjFarTv+XIYRnzujmn9JfurWVCiLph6cUJQoWi47DCl+U5rPTDqsVIu/q4sebzdqYDodROjZs0Fk5Tz89+bQepfiRnZ2U5MVik3sUvvUtrDUREn4/ylFlpU7FNA5dEH05GfOg99K7IdlHW1Q0sULeYsEnIb6OZcugQ0l68fsxP8RkXLmS27V4MXzS6+U9s1kb3zfeOEV1fWgIvtTaCtP2enWzKKWgAdkAktkcCin1/POJs9UPH1bqmWegyy1bsD+MjYJWr373YMbKlUp99KN6UICxeUsGVwyHI3H5u7v18AopiXI4uP1CPzIEzOfj/+5u/LteL7fcbOYcktReXg7f/OpXpydZKhVFdwaphDvvhAOePInwku5jRoyNoYinuzL+85/r8rHubpjwddfBYEXAT9a7QkpQ5gh+/3uEn9jxg4PoNVVVkEJ/P6Qg2ef/X3vnHRz3ed75dyt6740ESADsBWxikShKtHqXZdmO5W5JbpFLMnO5u8nYmfPdJb6LM3F854x9dnIuSmQrUmxZskw1SqJEUmxgJ1FIECCI3hbAAlgsdu+Pj597f7sLgCAIELvA+53BkFgsFru/3/M+/fk+/f1cksceY4mcGNWuLmL+9HQUWUkJBnjlSi7txYv4P0uXjtP5MzwMYVxNDRpwYIAXLiriBcvLSTAaTB8FBRDunT6t5y08HrJv9fWhDmZvL97V6dMkaTo7tcw3N/NYIIAje/PNN/6zXAWvvhq6LerUKfwel4tmurQ0ZHxwUKmXXiLXcPAgcimrbw8fpvErO5um0vCpDenUdzq5tLeXX1Ifc55SRUVKuUfSlWpTupwt5ZcZKQfeYJSUwLr7z/+MZ5KXR4B08810MJ48yRmV9vIHHkA5CLZs4WuBo7t7/M0osvI0PZ3E4Vtv6WbWlBTyX7m55LYTE9G/1mDI6eRoxseTyElP52/19el1u3l56N2yMv6NStjtSv3d3yn17W9DnCGH8bbb9HxPUhIfsK+Pi1FaSvC9ciVna+dOHcwbjItNm5AZKdq4XNj4wcHQBU52O8fd79dTzRKPylIvwQcfMDa1fz8dE9nZTCrl5fH7tbX8W1l5nQsm/X6clcZG7JDHg5OSl4fQp6RwcDZu5E1nZbFhb6IxbEnI3H8/suPx8CHl4gg8HnyT1lYuVH+/dnyE70Z8xvJyU2yaAFVVhBbiShQU6EGOy5d1o5S1/i/7FjwePbInm0/9flyZ5mZ0XWmpnnhSChVRXMxrT9ZDMCkCAdb7yUao7GwK2GlpRPj9/aHj5y0tVJG+9S0OlpW8v6cH3XbLLfz+00+zVqu3F+W8fj2/4/Uix+Nl25cv10Vzg+vCtm34fz4f/l1rK/8/cgTV4fVq3mrZTJWXx63r6yNJI+wb9fWELQ6HHrMfGdFk8BM1Xl0rTBLHYHLY7fTHbt9O4PaDH0Q+p6SE4G1kBKsc7fwOsja5rk63nfT0MP8jWe+MDM2WZt08dcstAGlY4wAAIABJREFUoeRjSpENjwGi1qlCCI1zcjR37dgYlY0rV0JtkHXxmFIoM2lUys6mSDARJgwexsZoP+3v1+SE0uctxDm7dkVlx0fMISkpNKi+cIFZjMxMshsCIRaVm2sNiqytBFF4DkZHQzdXDw7ixFmXRPT14fgpRefYlSs8TyouKSmogl/8AsNeV4dvJmtOpRPfZtML/G5fXKfKGmqUalBY+pISInSZmd+wIYoj6Ktg1y4uSn299rzj4mgdUQpPWWZ0kpJih7T5BkK2Qlk7baSxTVBUBB+44ORJRKitDSdyYECPQ6Wn620sBw7o7gmPh78zPMyxTUxEdbrdxB7C9RuVSExU6rvf5UO/9x4B9Z49+CGpqQRSixeHjkVJFkwpTc5mMC4GBpABpxMajXfe0eMnElj39ekVubIJTSnU2KlT5EzC6ylCOCtL5wRdXZDCS2IoPh6+35KSabz5pibaKz/4QC/ckLmZpUvpbEhNhZrhaoWFYBC5OnSIiCs7m8xBcbE2DFYkJ2NU+vuRsZQUXsPthmtHKmA5ObyXWBqXvYEoLeUyv/02tnZ4mONst1M/fughcnTPPou8JScz1Xb5st4YKVzC0hHR3c3lrq3l9qek6OV2BQW469eVOLx4USdwlNK8gGVlyOToKB8kEODxvDyUc2cn/lVqKt8Hg8jt73/Pczdu1Bv2lEJ5/+IXusCWmMicmOG6mTVs3MgR/sd/RIbWrcMXFPkRqsilSxEDqekL782JE7jNmZn8TlIS/8bF6WUuq1cj9+fPz8ygSuwncYaHWb1w/jxXbMeOBT/nPGvIzkazvvmmLkGvWEFboRBdulyQb0n5Ohrx8st6APzoUT2jfOECp7G8HIVZUaFHqhwOEjg7dyJvhw+joFetuk56++hD+ApHeezmmzVfoFJ6DGrGfGS/n5aJ6mo05MAA92DjRs52Swv36cknF8yWmmlBrI20lb/5JsF2WhryO1nioKyMLyk1tLZyFhYtUurRR/Hy29pwTi9e1MyCSvG8KNC9fX3IpLRXu1yorpYW1JZsAxAHUIi3q6vxoVwunitxQXs7sUF+PkH00BCFXytPpvjoCQnkw1bldahV3fs0AfqVK3o8ZOtW7NR43DKxgMFBnMv6ekiGRkbwdnbswJMOD1isW6wM/j/cbnJhr7yC6blyhWA6PZ240bqxPRCApPjcOZ7b2IisScAtjubatUxDyharoSHUanq65tFxOHSle/lybllUJnFk3Zvbje6qqeGgnj3LBenq4jkNDZqkSqnIDZhjY/iJJpEYggsXWPkt3QxxcXQ9vPYaLpDk8ZuauAWyGFL0nVSWx8a4BdaqtFLjLyJ97bVQdTA8jDv2xS9e45sPBll31dqqd6DLPe7u5gCNjdGNNZWuv2PHQrttOjvpzH7mGQ7Ve++FvvHNm/EDBbLaKxjU/HHTykwtPAg11SuvkI8TeTx9Gt0lyzN9PpLTkuxxu3XY4XRyy++4Qy/JqKzksZISnl9UhOvjclFzmDbCSdPlMAwN6SmFhAQOQkoKsnHhAglBmctJT+eDtbSwDeStt0ggPvUUH+rECZyNzk49X+b1MrL+ta/NEBu4wXhYs4ZbJforNxdb2dzMrWpvRxUI1dbYGM+RoYHeXnzLxEQez8oKLRrKJPB1JRItiP0kzq9/rdmIPB5YAt3u66d8NhgfN9+MUbtyBSl/6y0UjbT5jY5ilb/2teisPvT16VYTicQCAV1RaW4m0y2rGe67D88kK0s7gXfcQTIrGJxYmQ4OEuDYbCS6YsiBXLuWHFX4Y/HxSn3+81y2wUE6c2Z02ZAkx5TCg6yv5/pJ8GuzKfWVr5iNVJOhvR2d2NHB9ZINP3Y71uWXv+QmWiNEK2w2SqPHj+O9x8Vxo8vK0Kv5+boUtmkTz8/NZeb/ttvmtAtP1H9jI29r2TLyTsJ3c+AABjcujqO7ZAnfnzgROpIijYXClSp53O5uVEV7u17r7HbzWFISYvrAA7zu1tpXVeFwUCnvIk2S2dDAWpaHH45tJ+zNN3E+ZXW4Uui65GQ87XDvZIFtXbkWZGUhV6dPa0qqri5yZF//ur6Up06RwBkaQnaLi/m/9ZIvX445PndOF4r9fn6WlMTRlKBbyEMzMuYwlxiebRWMjhLRyZzF8uXIUCBABGcNomQPcWcnH8bpZG5HcPCgUnv3crFycjig1lbSBYxXXgndIDU6iix8+tOa0srjYYmSdRTV4dCFG4dDJ3m8Xp2rvuee8ak8rE1SAhlZuKYmzr6+0E1AXi/6VUZZXC4Efc8enJedOyfn2RxvHWdvL3quqIi1SPv3o/yLipi7cDh4rKWFoD0hAV8vKjOi0Y1AgDxaOF55Rdecurs1SWwgoG2wFGmGhqjJCgeTzcZR/4d/wOVvakLf7tx5nU3cS5aQWJGNHbJrWrZ5ejy6pVJadFta9DYPISlraeGNiAIeGKDlqK2N3ztyRO9XF59X5H68DKnBjEE4P5XS3F8ZGejFlBTsqd+POnC5tE6Uxs+BAWy03c5tF8qkwkJippSUmZuAi+0kTk8PgV5npy6z5uURCJokzuwhNRUpf/VVeBH6+jSJpayD9XgmWDc0x5BBRqVC15P6/XR91NVxel0ujP/GjXp34b/9G3LmdlOJESJPwfHjOJ49PXqFjVKUnz75yShdARKJu+7Czpw8yfdr1mi6I5ttFrs55Q8qhZasrOQ6BoNEIHfeaRI44ejp0d5JURFZjOZmZNbrpUNRhsOVQkceOTJxEkcpAqGNG/kKR1YWDu3AAOcgisanfvtbnS8JBglm33hDrxbdvFnnttxu7Wtv3EgQPTaGYyhLR2RUShzFxERyFkJ0p1ToeMpf/yeP2l7ejg06/8doZckSvpctJI8/Hp3J7Ykg63GdTirM2dmcSa83lNDF60XOJGEoWYTiYsqs1dXI3AJ0Pltb9Tr6NWt04tvvh+dSVi0rpUf9Skup7K1Zw6V9911kUn7XZtP0HU4nr33xIn+rvV3XVNxu5HpkBNM8Oqp/p6wMjupZE8exMZ1RWryYe3/gAAHzO+/wwVNT4R95/HGtS958MzSiO3NGd0GEs5Hm53P4CgqQz3XrdIR24QKjCoK2NqX+6q+wK/HxlONvvjm2zuMMYWQkdMRU0NyM/ZecRmoq3WLV1Vx62YYmvK1+P48JSXZKCrJ877083tCATBYUcNmzsiJ5oNLSpkEym5jIL6Wm8mYaG3kTssYoEOAx2W559CgyNlFcMFE1Sh5PTeXCWHHzzfw9OWDx8XRZxnKCfg5hzc0Gg6gHWX6hlN4u5fdzqYeHSVDHx+ttak1NWtcppUOTBx+cwTfqcDDj+vLLyJjXq3dUnzvHG5Ko3uMhuRcMkuFMSFDqy1/Wa7PCE37vv6/XtsbHcxEaGrTfK0lvr5cEZW0t3998M8bC4LrR0MAlranRCUGlcF/OncOH9Pm4NWNjmg+noIBbNjLCczduRBeuW0dBsbMTlVVcTL1zplzn6Eni9Pdj2JubSeHfcsvV06Wjo1iIc+f0Yz09Zi35bMPng9jrrbewyLLDtK2NJId1f2+0QU7a8DAnTJzDjAySUGVlVMqzs3E6BwfpOX7tNT5ffDzK8vXXUajCBP/uu7q99sgR5FlIoEdGGDn7/Ofn5jNfI1wuZpFlmccNoxQId34KC2mLePpp7s882f41Y9i3D5mTpGR2NnLa16dLAi0tyK3Hg3MgpftAgPbd06fxhLZsubYRyCjbHujzRa6HVIqOGjGW8fGhHe4f+QgBb1YWQcqPf8zlGh3lEkrlRLoh4uMxLV6vDmACAeKJrTl16qYD/6LUgTHkWIIJpTQnzOLFcxsw9vZyhqSM1NSEXAjL6IoVJK7lPR49SmZMcPAgzmtGBhfKCodDl0Q/8QlNDH/wILZCsG1bZDA0j/HBB1STBe+8w2KcjAxkb7zps54ekjh2O67NL37BUW1o4BJLAsfj0e3c3d2aNFGaS6UDzWZDbt1ubk9ZGT7/pz89i1upfD5K4OKb5eRgE9PSyFxducKblE1mgYBSn/oUz7Um8wUydnDuHPI7OMjBLCggEPrCFyKLRtYtMEpRoJFAKjsb3WmzRSUR+2xDCK9lHEWQm0vO9dVXce+cTmTxZz8jUP7+9/mZjOWJirtyheCku5uE5V//tc7DVVZqXtYPf5hmA+nssdmgALlmteh2o0veeUf7ccIeKlwk8n9R5i+/zKGrruY11q+nEGezYf/OnAnNJJSXTx6D7NzJv0ePcgjXrQvtAjOYMux2woYTJzjaJ0+i4+LjkaOVKzU1kcul3eqxMT2C6vPpEdKhIXSe1AElqTNjyMtDkY+NkZh+7TVi0YwM5E6Uc24uDkJ3N3OuY2OM6N11l163JZDRUUFJCV030gqsFJWohASWfkjFanCQArN1C4PBtPDii3rtvbASbNtGju7VV7kVg4O41GK+XC5kTQjf4+ORO9Fts51bi44kjt+v1D/9k67eXbmCY/nlL0+eDMjNjbRCSpGRFy/GADQ3ow39fhx1yfZeDYEATtbFiyioNWsgk3v5Za5zayv/JiaidSWyEYmONgiRy4svoiR7e5GToiJO30c+EsoZ8vrrKF8heR0exkvZsAHjvW0bp13WsCul2yybmvSMrHBjxBBmNHkjbaWTYeNGPEcrNm2afMXiQkVPT2gCRymsTFsbOnN0lDPr82kC0P5+1iutXk1S8eBB/bt1dZDmxeiWA8khWElilcLfGU8NOZ34O7Ikat8+rbaEnHhkRM/eK0WMWFBAsfXwYaVsw0MqIUGpwhyf+nzG28qh/kgmFQjwRpKTNcFUSsrccWf19OgOLZuNgLqvj4D43Xf1HMX69VSr77yTz/Dmm6Gv4/czmrJrFxmFnBzNR7F4MTfhppv4G8XF2PDqamS0pQUZrK1F10YBd9Jsw+cLpc1QiiO4bx9TPWlpmJ78fEzF4CC3Ii0N0VmyRKn/+T/19tiBAZ6TlET+QuJUh0NvEoqLQ7Zl7CAhgUTkhz7EbcvIIDadqc0YE+KnP0XmOjv13ENiIr5He7s+F6OjfLBf/IJuVVnvFg6HA9t86hQRXVMT9rqoiCTMeF2/1qR/IICvIq8lOHJkQSZxbDaO+fPP67yF200u49vfhmhWAmS3m8t9111Kfec73K6uLlRaba3mcFVKk20XFuoVu0eP8rNAgHrY9u287urVqMSJtm9fFbLuSpKDfj/Bs83G/2W+QRIxx48je5KVf/115O+225i7+eQn4b7p78c4SJJmsot4662xuWEwCnHffeizn/0MuSksxBWvr6cY4/PhCrpcyOTq1XqtfVwcOjA3l4ROQQGhis3G97MGh4M3sncvyra3F+Vqs6HEHQ5sY3k5umtwUOu79ev5gHJ4li4NJdJOTdXkPStW4JutXYvNlQSOFUeOmCTOdaCxUSdwlNLNTytXUj/42c9QF6JaHA5038gILlZSEr5hWhq3fNOmGzMQFB1R9vnzoWzfSiHsJ05cfef9ihVcyd5ermpxsV53a5I4oKaGxIsoi+pq2iymsqL5xRdDK2MvvIAzJtdWdplKe+uGDaQle3pmIf09Q1i5knLkpUuhpGGLF0f2uNXVRa4Ql6qPXE8hThQkJ6OorRFl+Fr2hYLhYVraZSRj0ybS0+OdzZ07MX5Hj3Jt160j8jCIRGNjqEz6fHpVjVKavVeq1SLDwm/z/POhrxcMMt8fw0mcLVsIkK3YupWfvfBC6ONVVaFHXQpeYqCLinQAI/ndtDSC75vX9KnOf3pJ7T9oV0G7Xa3LalaV2d1KKUvQmJCA7Mq1X7Jk7rbk/OQnVAt7e9HTAwN4u4cPa7vr83ERnE4dvIgMWdHVRWn+ySdpM6mu5qyWlmKrrU6kOJrnzpFcFPyv/6XUf/kv8340sqdHz9Vb3RHJJchiuPfe05RVMtJXVkaeTbruZQRQiGXLyvTm2b4+PfYniR1pxHO7Eb3/9J9uYPNcb6/eiy7kxDL71dgYSrAiNlQ+iMOht0empuqDuGED/65fH7obuKMDX1H4cISbQnwRWUCglB7LtUZ14SSlCwiLFxOcHD7M5fv4xzG90kEjt6K2lp/ffjt1rwceIPfb18dllq1ASuntQjIydfmy3n4mLtH77/Ma0sB9XVi1Cj/h7Fk9AzYwwAGQJN7QEH6cjPVZcegQSRylNKm/wZwgLg4uJQmkRV9KJ9eRI/ox2byXnEx9QIiMBwb4WU4OIlBQgIzPKpKTyYg6nchYfDxJweFhHI2REWLc/n6ddZJZw9270VNpaRyutjYSPFIILikhuSjTJT09EHrv348uKyvTI1njbSQxmDKkzt7fj93t7kZ3nTxJfbmtTbtwdju3VRr9XC7Mymc/ewPkLQzRkcQRcrKpPm7F+vV6xZvdzldZWXR2gcwV3n470lru3YtkTtYd0d4e2drc0cG1LSpCwmWtY0ICmeTMTJRYtK9/lj3AV0NqKqc6O1sPkTudnOa1a/X3ZWV6FeDSpVw3uQYuF2TICxEvvaTb2sfGiFjc7vGrVzYbAeTVKmAGkedLZifKy/n33Dk9HL5zJx6P04nD6/OFBlKCqejbKMbu3eRkT57UtD7Symqz4a/7fPj9VjqrwUHd6Sxmo6uL523dSkOo8FYqpZT6xUuqaKhOPfbH469aW5W60BdpvaXtYS5x4YJSv/sdHogQWgwPU+a0bluR6P/ECeQgM5NEj3XNvFI6CMrPp6NxMrIBYZu0JnCU4iIfOKDnNecpMjP5+KdP62ZV2XwsuOsu/PKaGm5JYSFyduoUOTHxy/1+vmRNaV4eTqe4PS6XTuK4XHxJJfupp25AAmd0FK+3tZWtPqdPYy+tHZjSZZOYqIMUCbSl//z//B+SQOnpRGdDQ4zThtuL0VHWddXW8r3DQSahv5//b9jABsNPfhL/p7ubCy/dGQKx4QsMgQCrvtvbuWw+H5fT5wslO1aKIGV4mJ81NNAZceECjZ4eDzrX6cTU+P2a18nj0SZFal5CEzIwwO8dOzYDVIFFRdzblBTemLQGSTKnrU2Pz1vv/cgI/uzZs8ifRGgeD4Wn2lpe85ZbrnOdkcFU4XbrLlgrhoZ4vLkZmRKi2LVryX90dqIzi4qQw9tuI/+xadMs107q6yl0DwyggJ98kmTimTPYT58P+ZIuMYHMxZ45ozsQlUKxf+1ryLHdTgZeMld+Pxykvb0cuJ4eDqeMWC1QXTYdXLqELGVkELrFx+PSeDzUpoSJQHSezcbvpKZyi5xOdJxsfOzpwbXet2+hJnEqK1Ga4YmGqQTZd9zBFWxo4HtxLg00enoiHxsY0B7fRAjvjlIKKe7q0muIL13C6i9ZgvTabHimUUR4el245Rac0uXL8bQ7OvCMd+zgZ4IHH6TbSeZiH3sMuU5IoN0yGkmeZxtiwKwIBBj7cbu5jmZUanooLkYmhXPC6SRhIBYmK4ushfRzut2c9eXL8doLCyNH/G609Zlh2GxM89x0U+TP1qyZeDb5zBkuR2UlVUAZS0lPJzEUQrHm90eS7+Tk6PYKQV4eXaJzCZ+PWZzeXr1+y2bTAbcVkgEQb1kpkizPPqu7DDMyuCBTxapVkXovPZ0LamWsnKeQEShpaPJ6aQiQET6luB3x8ZGiEgxy23bvVuq73+X29ffrXFt3N/GlBN0SryqF7C5dqqf3xmuomlGcOIH/1tlJVJ6XpyOxYJA3ZLPpLpj163VZPTkZnfSJT3AQhc+rpEQTWJWURHZuvv++TuAoxesNDZF1DQbxxJOTSWAL147ssz5zhterqlqwnZ51dZH52aEhXa+ybpFyucjdJiVhuiUvV1ysV9vbbFzyxESOt8+nc8ZWF1PG/OSxGWmE2r4dO3j5siZO7+/XBUanU7dVjozweEcHcpCXh3+XlaXUZz7DofqXf9GcXz098IIlJcW8fYx2BALcpq1bybsKbDY9Lef3o/u8Xj0+LevtlUJOy8rIuc36KIvPxyZQsY/CM+jxhMauRUUcKGunTEYGOjI+PpJqwOkc/83X1Gj9uHo13T29vXw98IAhNp4iXngBc3HunF709ZGPoBqOH0eNSK0rLg6zJltN6+r0zhBRKW43utDjmRu3JjqSOGlpSj3yCI6A18vVuu22yTeoCBITUb5dXXphuwHB83vvYWF7ekgtWruTiouvThRbXMzvWZVPbi73xe8nYZafT+a4uJgSTEXF/CKWXr4c+TpyBCW5ahVf4R1M6elKffGLeEYOR/R3Is02gkHS0gcO6K1xRUVoSXHslSIJG77ly2BqePxx2k4aG5E32Q1/+jSWZft2nIeuLq7/PffovvdHH6X02t6u17gv4Nl+IVasqOCSBIOYpIhpXrtdr8MQOBxcu6oqqr4FBczJzMX4lMzcHzzIWXvrLWRAyH7i45GNtDQ+g5B+Sqk8M1Op732PJPSyZUp94xt4Li4XmYFr+UxOJ7bhyhWddcjL431MlZMthnHmDA7ili0cQRmZ+s53uJQyWTqRy5Kbqyc8jhzhcvp83LIrV7g95eWoWKU00afDEWqCZ3UhWG8v7f3COdPfz2Px8egaCaJTUoiwHnmExElrKwFPUhKVZGHTHQ/jecZ1dfr/Pp/mRhwc1G1Hp06FdnXGx8Os+/DDyOACHrefqOmyspJbMjSkG4+rqrht58/jVsryJxknSE7W9JSyKMzj0Q3ZMpYghNwpKXqZ04w0DyQkMCJ/9ix+qNery+kJCfgaaWnI4bJlRP11dRyM8nI+7Ftv8TvLlxPFydpnQXW1SeLMEqqrGQzo7UVF3HcfcnPqFKZq0yadK5EdAULe3trK7XO5tFxdvMjvznoSp7ExlEZBKd6M+FuCtDRih8JC7LLLhexVVPAmp6qHrC1yCQkkw8fGKCYvQF6v6aChgWP+9tu4anY7HTnnz3N7SkuRKdlAJckcWWosCcWEBB632VAvQng8F43X0ZHEUQohX7GChENa2rV3ciz0oNmKujoCNElPywpGcZyFZPPcORykJUvG9/SSk2lJtnZJLVsGAWpTE1a+pCTS4EU75Hp4PHjIV+s1X7x46nu1F1oSMRjEMFVXo9GqqnDK336bzRGpqWjFixdJLvT361GO1FTIU9evj95tZtEMu50eznXr9GO7dkVWl2XNgxXZ2cwJdXaG7ttegFixguUSPp9SyWpAlanTyuUYUzevWaWUCusksdspFYYTcO/ahezPFQIBRhePH6dTqL0dj8Tj0au05F9h3Sso4Px1duL9FhbyGUZHqT5/4xt4KNI60ttLNsHrxWbIeMxkyZ2kJKX+9E8pf0mP/PLloTNF8xTimycm8nXmDM6hBBvvvYc/v3Ur6vPcOS5tWhpExNnZes1peTm/OzSkqV3ksg8N0TjgdhMw22za9OfkzPIkSG0tsjc6yv9ldE760+UDiQ0tL9f/D2+ZW7pUZ6QE0jn2m99gpzdu1CvKL19Gb5WW6qKK1W+cqEg1V9xUUYTycl2fk5XhTifUHtJVc/Ys8nPHHRzfy5cx416vHq9SiksuRNstLYjDmjXIr8uFSAg5t9PJbbxyhSmSGaOgOXKEPzg2RkbA5eJNSkeYx8OH/sxn9Byi08kHly4un48DdPasbsUUWPnnAgGiPun8Wb3a0DdME5cukQMWNDQo9aMfKfXNb3K05TIXFnILRFZtNr2VT7q7gkGd770h+dnExMjHUlPHTzqvXKnUxz5GNuriRR4rLr62keKKCg6blWtTGMINxsXgIDs8zp/HFUlIwMQIH1dXl+bdr68nqdzdzWOjo6gQoZOU5WFC8Zaaimqx2QhrFi3Cbt9oRJfmcTp1MsHr5UpnZl57gqa3l4OSloaVmMu1rnOB3/6WFmelSLBISe/hh7GghYWQZ1nHKT70ofGzuZs343RfukQLoHRHlZbyFSuQXa4Oh1K//CWfRym+f/DB0EDYYOp4553QgFYGSQ8f5vuKCq7xiRNEIfn5aM/qagLGlBS8vAVQmb9mtLeTLM3OnnoS0YoTJwjSe3s5t/fdF7kKZJ6Ty04FyclMc7z7r82qYN/PVFr8iFq6VKn0n7+J4xVeXrn1Vk2+43AQWM716NTBg5qRVKL9Y8dwNLOzOZdJSQQ3ZWU4jw88AOPt3/wNP8/K0gHu4CCvI+T0bW1sHBoZwUn9+7/HCS0txS58+tMTrwFZtkypP/szZDk1dZZbQ6IHK1eyAMfrxVlsasKJtNY8TpzAcZTVuH6/DkqkOUpoXqwrw4VQNj2d3Mfy5TwvMVGPGtx/P689q5PNEshcuqT5ZmTZwdAQen3bNn52tdaLigqee+CAziqkpYV26Lz4os6KXb6sSUPT0/GirR92ASQKp4vkZNyev/s7bp3djvuXl8elb23l3/Z2OMhli1pSkl6v63bzuHXDt+Ts3nuPPEhpKQHPrl1aVAIBfjajyUXheBNukqQk/YYkgf0nf8JzsrN1l1hfn+6qTExErycncwGs+syaoH/+eU2irBQdZZ/5zNU72w0iIGGKUnph4tAQj8fHoz68Xr6X8dT+ftSM3OL+fh1c9/byfOvI6qyhsBBbKkkZpVDwn/sczN8ik+XlFE2cTuxkTw+H4Frj2sRE/JGXX8agJCfTyjnt9W7zH7/6lQ71WlvRS1euIGPWRHQwyC05fRrdJEkcyd3KRKYQGovuS0nBnXG5IH4fL68324iuJI7gyBG6P+QQVFVhcaaSjDl0SKlXXtFXf9EipZ54Yv5wtFwNx46hQIQHp6sLSS0uxiHPy2PMJZwP4623SGTItiYrUlJiN9s7PIzjV1PD90KCLZWTsTGU4vLlesRnPLS20l3S0cG13LVrlncXRjEOHYKTYHCQqlVJSej5OnhQj+A5HBiZ5mbtlCuFxmxuJtJZIEHdNeGNNzjHAumAm6jENDbGda+pwbiXliLXogebm0ncfuMbxtm0IhhUqrpaLa6pUYtb9itV5dJdYX4/ZZzxemQ3bIgussszZ3AmW1oIbmVg224niZ+RQRQBpDq9AAAgAElEQVTmdDJKJxVA2dUavtnC4Qjls9m3T3fS1NRwbRob0YU9PWQrHnts4vcnHFgLCImJdDZ897sEvj09FnLsP+L4cY5tYyNmOjWVo7p/v1L/+3+jGpuaENOkJAKU5GQ9PpCcjCl65x1tvpKS8PVvyPTHsmV6G6XTiaz19yNvJSW6tSM3Vyc/J8Ndd9GaJDusf/jD0J9fuqS3P2ZlkT0YG+N9rFjBRYiLY4bNusXKIAIdHbjH2dkEzDYb9b+cnFDKrL4+kjnCtepw8NjNN6MG+voIfqRZu6WF15IOsuPHyXdv2aKn2GZ8cenq1RSO4uP5A+npHBaZ+Robg8m5spIPvWsXut0apUmhZPVqDqNEabfcog9TY2NoAkcpDuypU3PbiRmjsNm4PW1tbEZzubgV9fW6wa+3F5mSDZKyo0EpVID8XxgjKir0dOWs4+Mfxxe+cAGZ274dO7t5M21FaWmRtCAZGdP/e0uWKPXVr3IhRNYNxkV3t07gBAKaCk0p5MwqI7LdUTprxH2ScSpZeOjzYdeDQVyftDStQ+dqCCP6kjj9/QQfMvR48SLps3feYQTottsmFlzpnbK2PjY2oty3b78x7/9GQAgDw0cklMLZzs0lSdPbixbs6sKaipSFJ3CUQlpbW0OdrOFhvMnGRqR0+/brU0Bzgd//nkqd4OhRHbgoxbVsaFDqZz+Dm2XFishkYX8/rPAy/9rZye989asLr432tdeU+sEP9HqJjg4c6aoqvcpTuJGUwsrKLO/SpbrkrBSP33zz1R37hYaOjtAEjlLI8OnTE5PXvfCC3gKmlPbGrdfW62XkYeXKmX/PsYpXXiEpqRSOeCCgO8SU4l5Yk77RikuXtMeSkKCD4IwMztmiRQQi6emaE0SwY4feZibYujW0rCRRnayfUUoTYziderGAQQgOHqQ+IBzkra0EtYODqEq/n5xEXx+XcWREbwsaG+PIbtyIC5OVhRkeHtYT0I88QuyZk4P4ulwUfW9Ik2xbG6MrJ0+SOBwaokh077060/TUU5MXR8IRCHAB0tLG30EdDOr1Rl4vX4EAvo7LBQeTwZRw6pTmlhacPx86raGUVicZGVzqjg5uw9GjPNbfz+/k5pKEbGnRnTsuF67niRPaZYiLm4VlnXfeyZs4dYroqq6OAyNEsC4XNvWpp5T6+td5fnExNlMypCKnCQnwG453iNrbOYA9PTxfNl6Fs0Qb/H/U1pLjl1E8IR7esQOT9MMf4lJ3dPB8u113QQwO8iW6MSFBrxYvL+d5bje3pKQEGSwvH3+Xy6zA7R5/hD0xcfb8LCGJn4cIBOgnOHIE+7dmDUf1WnswgsFQd8bjQVYSEkguS6OxQFIKMu4pjaDS5SXJRoeDL0kxbNigXcMtW6b/ua8H0eeZNjRow11bizL2+fCAxNpMtCGjpWX81blWqv25hs9H1lba2q8lkzoyAu/BmTNI0fLlSj30UGgyRyzlyAh/KxjkX1kr7HKh6cKrCTZbaEdEMKjUz3+OI6WU5jT50peiO+j2+/EuLl3CiB89yqkbGdHValnXUVbGWM/oKB5HczMnUdZ6CI4fjyQw6+3F47khfZtRAo+HgWWZ+ZWtN8EgsnH+PPJcXk6wWF+PscnIINJYtIjfE0foox+lB9EgFBPpq6am8ZM4PT2R5zkYJLAKH/MxfBAaAwN4C4LkZGS6qUk7YDk50Z/AUSqUGED0s8NBZ0MwSPRfVMS4SnhQnZtL0HLkCN5NZSWl8vfe4zXKyvB4ZDzLbtfzFNJasgA56YJBmpIaGzU1Rnc3+dPGRvLYjY36cldUEMQcPcqtGhzkNWSLTzDI5ZY2b2kgGBujcaqiApNfWMhrZmbqXNxk29dmBZ2dSv3kJ0Tnra0EwaOjfIArV4iodu6cegInGCQhJOQp5eXw8SUkhJKI5+dzgVpbdSk1IQEdGL4J0WBSiFoLBDT/fXx8ZOPhokXkud1uTXlkt2P609P5NyVFB9teLzIrcWZ6OvRHO3eiJlatmiEKPJ+PAxgMorPWrEFPJSRonyQjgzcmhaS+PqLE1FSKkiUldE288gq+YXo6HWMTZUE7O0N5m1JS6GCfyhKWBYiODpa2NjZSDw4EyM+eP6/U//gfyIvfjzwI20FPD/ITCHC7RkdRI9Kl43JhuqW5Pj5eT2IKZoxryeCG4t13Q+uXhw8jHw8/PPXXOHtWqT17kKPaWmyzJIFsNlzivXuRJXGblEJl5Oej/wYGMDuyTGB4mP8nJPDzNWuw9RkZfG3dOne859HnnVrHLaqrtQGX7KPMAY6HrKxQVj9BtPA+NDWxslU+U1YWM5JTJRXds4dKgyQUzp5Foz36qH5ORQWPp6dzLQMBpDgQ0FX4LVuonnV16d/bti10POjiRV0J6+zEEKam4oFG8xabf/3X0M0Vx44xh3/+PBYhLQ0nsbOTzx8MYoAlEXboECUC6yhBeALnao/PV5w6FZokFUr2S5eQLb8fGZHETmUlDtJdd+HY/9u/cQ+Kiigv33PP3H2WaMZE42UT6TGJBq3IzydZbEVa2tzQ50cDxsY0qYigvz+00r9kCQlbKeE4nQSSsYD0dPTc5ct4vWVlBCJ/9mdTG0POyNCsfLW1Sv3DP2hPurpaJ7klgZubS9ZC5isW0KpmIdj8939HJQpkwc2VK1ymgQGet327JiGWCQ2Hg9s0NKQnPoTDV3IhbW2aUNFmQ51u2jR3nzsEhw/zxqUDwe1GBgcHCXL9fsrvSUmRBMYTvZ51r3BtLfb1wQfpMpQgfOtWCgLf/jbfJyXpVVxut84oGFwVmzfTqHzunL6Nycl8L6MESuF2P/ggQUtfH7e5uxtZttuRz6ws3AAhArXbca/E5aqomGFz39ZG97R0BY6MICNS6JXyeUqK1lkOB9kAp5ODK935WVmwLF8NQ0MkuouKdHGzv58Pa7pblVIkbd55B3mSvFZzM4G518ul6uyk5mRdEFdRQXKvtha5k6PsdOqhDKlHj41puiO3m1s+PMzfzM1FR8aEmyMfLBaKRDcIQutnxcmTFDHCL9PQEJSPdXXomJtv5t+f/pQEn8dDeNzTQ3O1hHler25Qdjq1nU5IIB9bWIh8xsUhc0JgLCGiw8FjqalM0801JVH0Sc+iRTjT+/frINnh0KMb1sRDODIyOMGHDnGHr1zhd++4g8MyF/ODonni4ijRWatKXV1wXzzyyNRe69gxHGqpQEl/6yOPaEf97rupoDY26n1osmtPApbERNpKT57U26kkdT06qlPdgQBBjZVtPTk5epM4ly+HJnCUIvC9fFmPAzidJLGcThJVq1eHBsfBoN6QJli5kmtqDZRlXWWs4+xZoo+eHoK+u++euKouq8J7erCwnZ38X4ZInU7+39ODk1VUpH+2aBGt7p2dek/kQkJbG2dJKYLt/PyJn1tSQrnAWlnOy5uY46GgAP3Y368fS0rCwvT0oGcWL6YvdaF14vT10b1YX4+V3r5dE7jn5oZet9RUAs5Fi7Dmq1ZF99au0VHs5Ouvkz3wejlzK1Zw5qqqpkfq/4c/6Aiuqwt7c+GCJj4OBNAVu3cjZ1VVC4bXqroax1FMTWWljhv37tWB7OAgl2pwkADm7FnMxciI3u4ugYrfr7twJAB2OjX3iNvNZY4qWrrBQR2FCXnFhQs8HghQcDp6lK+//uur89NYGU4FTU3otm9+E1udlKR5SxoaSBZ1dHCxioqw4wtticV14KabuF2HDqEac3O5vNJMu2YNgdDSpcjrf/tvyKTHwy1OSdHdO0L2KbRbpaWYno4OGBBmfGvLq6/qBI5SyMfQkOalKS6mW0viBYcDHVVUhH87HV64lhbkvKKCD+rx4EsvX264SRQhw09/qkOctjZqp8eO6S1AbremsbLW22tq0I/JybiIiYl6eZjDofO0AwO6+TM5GbfI7dZB+mc+EwNNoYEANvvwYS7KsmUsGVhoPvFV0Nur9YvXG+mKPfusblrv6dELmI8d07Vmn49LvGsXeujAAaWeew7XbmxMUwspRTKmshL5+su/RCaFlSAQ4PWVCk1uR8My4uhL4igFi3xvb+ggrQQfV2NEu/dejPkPf6itymuvYU2upSdrJnD8OEkaj4eEixBdWXEtXAJ1daFsTD09GC+r45KcrNR/+A9Kfe97SJ54mAkJmqdEKZJK1rJebS3Oe2cn1++WW3QpxYqBAaRZRmOiCeOxmS1ezGnr6+P0FRRwWoV5L1wzuN2RMlZYyGafN9/U2uTWW5GrhgZeZ7IW3GhESwvJmz170ESJichAR4dSzzwzvlOyahWWcnQU7iXZ+pCUxL8DA8iV14t2tNlCt5EIyepCw+uvK/VP/8Q1KijAkjz+OM6fFcEgZdALF5C5pUu5Hzk5k6+ZcTiU+shH2Jrh8ejr/tBDxrn8139F1pVCLl9/XbfAOxwkwH/9a+15rlzJmF8skD8/9xwZgvPn9X5VaRN54onpdRGNjmIDBD4fwZLXy3UTT9zhIFBaQBuAGhvZdB0Mouo8HlyUrVs5Zk1NOs6TmtHYGCZfOB7KynAarfUoOaKSExG6u/x8LnlurlKf/3yU0SBUVlIEKijgg0u3rrQUBYM8lp6O7vv7v5/89SZKLjsc+C7hnQ4bN1LiLynRj1VUhBK8GFwVq1aNf4SHhnBZCwtxb377W1Riair1MCGjlWRjRwf/pqeTbBRZzc+ni2fGET5yPDYW6qva7RTrtm5lsUV7O3ZUfLvp6K3sbJ20TEnRHV/R0uk/DTQ24o54vbgjW7ZM32U4fjy0Ru33k+weHER2RkdJ9snWPaX03xoY4LmlpXqLtujH5GQ9iip8OH19moxbOhUXL46BBI5SFITff19/f+4c8vuJT/CvdCFWVCy4xE5VFWHJpUt66VdeHiwOX/iCHhZpbY1UAYEAl1aWc8oelbg4wjSnk/pdbi4JoNJS9NrAALK0cqXuvklPV+rpp9GBZ84gs7292HzZRvXAA9HRRBUFb2EcOJ1U+To6qKC2tnJK8/MJTCaDzcbpDw+ojx8n0L5RxLzNzfRbS6q5q4vDunFj6J2XFPNUMF5gMV5gl5/PmNbrr5PoKSoiuTXRfHpvL46WtIgODvLY0qUECH4/17W4GC3Z1hadSRwpI1lHJGw2PvuGDZxwKx5/nBKpdd34/fePf502baKaKJwZzz6r16b29WENn346NpIUJ0/Son7+PN1qjY0E/enpfL6LF8ffJJORQXfHnj0kGmw2PrtY28RErp3djnw8/DAys9AwOoqs1dVxfffu1TJ5+TKW6o03IpM4L71E5VqQlqbUk09OLTBZtAjCxtZWnh/NHSQzieZmgsWlSyOvU0eHTuBYceIESRylKN1885uc6aSk0P3P0Yy2NuRLPp/NpqOuggI8k1/9ipL65s0TB8nd3dgJWWV/2214KcL6l5mJ7Pp8odcyIwOvegHhxAltzkdH9bhTZibuxsiIHpNSSm+1yMxEtKQhdtUqXVfy+chRSBeObJ+SBTqJiXQxXIubcEOwerX2F8bGKFu6XHrpgowkXr6MDvR4JtdJGzdGFrQqKycejdqwgb9x8CAXesUKxnYNpoyBAeLF9nbMttQXPR7cZak8L1lC08DJk1oFDAyEcjjJqGBdHbdMqNiWLJmlN5+dja0T5OaGduYoxQe6805iibfewteLjyexM522NunU3L8/9LGtW6f3GeYYss9DXJOGBmRhukm3lhbMSVoa8tDby7+LFvG6wu8lNWdr7dnpJPBevlwnCePiuLxlZQTYo6OY7TNncJM8Hn5XRqo2bpzulbjBOHky8rG6OgzKr36l/WmnkxilspJDJtsm5zFuuYVjvH8/siNE1QMD1I1lqaaVtNiK1lbkQgZghoaQP2uuv7IStfCDH3CJs7IImTs7CX2WLNHJwPvv53Xq65GvnByauZcti9w0OVeIziSOUliB5cu5kxUVnPgNGybvdggEUNTvvceJt5aupFI5lSSOaJvrWUt+6lTo+I3dTkDb3a0DfYfj2kaTli/nOoglzcubmFh31SrdMzbZCEVtLe3OL7/M90lJmqlp61a4cqSHUa7HXA8BToSUFBI2r76q++lkLGL1ajT9yZOc3E2bSFxs3UoSp78fazFZ5ntwkDXNFy7g0QtLVm4u1/no0RvLodHbyz25lhJtMEjQJmQLSuktcNKKHL4RxIrycr5SUjA8R47w/J4erm9BgVKf/SydAAu1tf2557g2Y2NUXC5exErExXGtLl2K7Mjr6gpN4CiFvjp0iMB6KrDbo/dszjQGBtjBvHcvkW9iIgnGT3xCOzoTOTzhj7tcsxhtzBKEnN1qYwIB7M6ePUr9y7/gAW/YQMno4x+PfI3RUbbuiTfc30/QfffdkGX4/boLYt8+nmOzkewdGorp0bxgUOdY8/Jw7K7mH8vHbW3lSMv2CpnkKC/nZ42NuhExKQnRzMnRr//QQ9RYnn2W3339db3xR0g+ExJ47ZycKN1cbLMhJ8uWKfXjH2NLz57VLM3CP2W3awIVwcgIPtrFi/gaO3YwuyPjgRLNXW0GZ9u2UDZTgymjqwteaq8XWTtzBhMVH0/AUlyMiXc6ua0SNI+O6u6HoSFNNivbW0ZGkP/Fi7mFO3fO0gfYvZsuS5ltyMtDjpqaeGOFhboT1W4narvzzuv/u3fdRcGgrg79un59lLXITR1CNGxFdbWekh0PwSB6SZqvlUJn/epXdPTs28fjVVW4gzYbLnZNDb83NIT7I4kapbSeFHq1ggJc7aws9HJaGl+7d+Nuj47q/TD9/QTVjz4aQ2TG4XZTZmj37QulC/H7seP5+cR8CQlkOebTpuUw2O0cqfHUutSVpMmzvp77X1KCrPT3E4oVF+sCSVwcNnTTJpKUTU26D6G9nVxwezu6LTsbf+Duu3WPQmIioczgIO8tWhI3VkRvEsduZ6zqwgXNkjVZ98fwsFJ/8RcE18LZUVHBHc7OxiJNJcDZuxdtNDyMVnjwwel174zXZ1VUxCEU61dVdW2dG9u3I03W7oarHejJHO0LF5T65S/5zMI/JAmskycJiIJBTotgw4boZuLftAlNf/my3skqmMjpkzn7q+Htt0mciPUJBkmCSZutlGBnG11djM7ILs9160gZTyWoGh3VbcdiHJTSVfXU1KkFtPffj+ysW0dQJ7twH3ooysgbbjA6OjQvk7DwxcVpAkSPBxmqrOTnkhidiOvLOtoSq7hePjLhEwoECBYLCxn9fOst3b/t9XImli4NJaxcvFh32glipmQ3CRYtIuLKy9OcPh0dXCvZROj1co36+tgCF95lVFurEziC0VEee+YZIjsptScna46muDiucwx34vz616EL3ZYuDc3/CXp6mKJtatJUcdLGnZXF19Kleunj6tUEsfX1XEa3m8suk8wZGZoq7N574ZBYswbx9vlwV0pLuaU7djDFG9Ud9UeP8iFXr+bCyPpvicwWL+a8NjdrDrlnn9VnsqmJDuWnn8a32LBh7j7LAoIQzSqFa7xlCwF8SYkOkFtbuR1xcSRnwvc4SOJG8nUuFx1jsjR1x45Z/AAVFWzUk/a4tWt1MU3a22YLUsiKcYQ3LinF/fR6x9c5tbXUent7CW5378aUHjyIGhB9KlSfjz5KHnZ0lOcNDKDX1q/HLHV28vfi4zEvgQA1K6WQucJCGlE2b9aJQqXQ0+3tvF5JSWxMPodg40a6rhsa0ItjYxy08PmgYJBM2/r1ekvfnj0YnfnAxzkBsrO1zrFCws6XX9Y2+coVbOe6dUo99hgyKmvp7XZs7y23ENIfPszvy7BBIIDsFBRoPvzSUqbpwxHNNjh6kzhKcWqXLh1/tCMcv/wlVkgpBP7KFbRLfz/ff+MbV++sOXaMhIbg4kWq6l/84rW/93XrOIDWbT5paXTeTHeQbscOPosQpFZVXZ0wcDIcPIiDb32PMtDf04N3uXUrQWlHB8mjaByjCkdSklZyPT3c05YWkha33jr9wVlpH8/I0LsRR0fxbhITb1zy4te/1q3EgQBym5mJtroaJKpoa0MeV6xA80nv4eOPTy0ZlJGh1Fe+QrJMKWRjoXbeWCGbomw2vJP4eO5NXx8yGAhw7Xw+uro+9zl+r7CQ6y6VRUEsnLeJ0NrK6tbGRhJ9t98eypFkxdCQHj5euVKPUdTWUo2SxOnBg0p9+MORA/hKcY2tW0eUwiL/4Q+UApOS0KHhY2yxCJcLr0U291y5gkzJ3kzB0BC6u7o6ctxkoqTz6GjomEBDA55OXh6elYxMxsLo6Di4eDE0gaMUSZdz50KpV6RRyUq1EQhwTJ1ORHrpUkyyzUbuu75euyzp6ajXY8cwEUVFBLeiJouLCUj27tVEyGVl3NpNm3TreFTDSlzx4IMUOpqa0Gd5edjcggJks72df8OTqj4fHrYZh5pRdHaSUysuxuwLSXZCgq5qK4Vs1tQgu/HxfD8ygut85QomaPt2mkrl91JSNP2WzaaXx8bFcQ5uSJ48JydyU61wKBlcFZWV2n3r78dM2+00V996a+hlHBwkFJJQwetV6ne/43jX15P08/uRAb8f+enuVupb3yLBI9vbN2xghGvXLhI2PT38jlBsielyufi/8OmEIzc3Zs0Pyv34cZYR2O1cxMRELqQ1NhEez/C49eTJeZ3EcbvZZPeb32iKtZwcXLeBAeRT7HdhIZfI5ULPvf02Mi3bo2S7lCRwlEInCqfS8DC3IC2N5FEs7v6I7iTOtcC6m6yvT4//5OfjtNfUIBmTBZrjzSq2tmpyUcHAAMHC6CijOuMNrGdn04e1dy/WdNEi0tLXy4Q0k9UqKa0kJHAShod158D69ZpjoqIilBQ5VjAyQqlTKtXt7SjKr351eoY+N5fkh8NBgqumhr+RkYEzMVP9nMEgmurcOTTNTTfpoc6entBZcMGZM1NL4ihFeffZZ/U+0LY2vLJjx0hTf+UrEwfbVthsocOmCxlXrij1/e9jmNvaOC+rV+OdnD6NjmhrQ+62bePfxkYCmsWLOWt33cUYi4zIlJVN76x3dSEPTidyOhtkn83NdGbExZGwDue78PtJUsnYT28vBJMZGZEy09qq1P/9vzop89prjP8sXUrJxdrzHQxS5htP57pckRwaiYlT3/4XaygvZ4V4XR1y9L3vcd/lmsuaI/kKR2WlZpEU2GyRyejSUmzouXNabxYVxWzH3XjqUylyrNYkTk1NJK+/5Lasl0wpAtc/+RPNJZKVRSArnDYTNQdIwufTn0ZNdHejDmJmuq+kBN2nFLrg5pvxozZvRv78fnTF88/r1g0pelgxXluAwbQwNkZu9/Rp/f3wMO5qejquXUEBwc7JkzqY9vu5lVIBdzhwme6+W6k//3Nk8vnnOT8S+MgGoUAA+d6xg0SlbHwxiF5s345LcugQrp/bTThz4AB52C98QYdLNTWhtV6luO9nzyJT/f3IWUuLTsScP4+b+eSToWN1Dz7IJJyM7OXlRerT0VHM2LzlKR8bw6+3IpyL027H9oZnFaKBTXcWEQhoDqX2dmTys5/FZLS0IBfWrkBpFj56VBMZj4wgu0VFJBitl1C6aoQkua2Nf6uqbiwbxkxh/kiDNYNptUJFRQh9b6/edDURJkrBWQ/NkSMwIo2NkSB66y02wwiTmxWlpey8ux709CCVszF3u2IFVdaiIj3k73KRcHrqqZn/ezcap0+Hrl1WCmfx1Kmrbyew9pWKJbv1VpJAXi/aYvNmkjfbt89s+vbVV+k4EJw5o9SnPoU8SRU8fJj5WpJSQoJ75gy79DIyeE2fD8v73HMEaPOcRG3GMDjIRrgDB/A+/H49cL55s1J/+qd4zDU1XOvOTjpMlMLyyDjfli0E1g0NWJjJ+L9OncIDdziIFqVb8exZOrVEPvbuJUKcaJRUSOMnI/Rta0PvjYwQ5Xo8mkNLKfgtPvvZ0Neor9fJBEEwSPt7eBLn9dcj11r8/vckW8cbM+vpoQtl/35tgZXiOsYoyeS00dUFgf7QEOfVOu4ZCOj9q9ZuVvFwEhLIPLz8MoWK1FT02Xiy8vjj6IbLlylorF4ds87kRAsuwz92eGAhWLuWIyw8vAUF0A45HOPXWKbSHOB0aq7tmMLOnfgO7e18n5qq1H/8j+iV1lb0VF8fHzAvD5msq4ssEoxXWZZSfHKysUVXgc9HIJOaikmRBI7fT8dEdzfualoa6vuOO/hZdTUukuTXPB5NI6MU6kPo7r72NdzQPXs0FV93N7fplltQvVVVMUsRs+DgdBK6OBzce6ur29xMIkcagcObQQYGON7x8Rzl+Hh0oiRwkpMJtU6fVupv/1bvuvjQh6gr7d2L3MXHoxtfflkH1zJlnpY2j/dijNdMkJKCr/bGG9jzj32M1hLrQgG7fX6Mg0+Cd96h60+alLq6aOh+7DHq6BkZoevpPR5k6Z13uGwVFbqHw+WKbHDPzOQ10tKw3ZWVyObnPhebZiY2vbDx8NGP6k0FbjcWqqhI89kIw+Bk2LRJB1eCJUv0axw7ptR//a9YLqVwaNeupV1fSIdnCh0dlD3a2q6d92Sq2LKFEzI6igLp6eHzPPFEZJY4FhE+xH21xwXHj9MNMDBAMH3vvZz07Gy6VE6c0OSLM00kOzQU2vunlN6dV1qKDK9di9VrakLOs7KuvdtABpGFhNKKCxf0mhSDq+PkSWRGxlNk72pfH55vairJlc5OSp01NTzPZqMMVlCgkw9SKp0M+/aR+BCcOYOFW7UKXWRN8I2M0M3yxBN839bGvU1NDR3LKyrCaZAk99AQ0cC5cyRwcnJ4v8eOEbBZ6fyHhpDFb31L9zhPlVRYKV3Jt6KzE29u0SLNMSQoKSGJ8J3vUNK7fBnLHVPshjOEt9/WCTAhFpfEXEIC1+/WW9EdQ0Ps1Dx3jvuwZg1deV/5Cj+Tna3jwW4n6T9esSLGUFqK+Jw6pR8rL4/MI1RW6tW4ApsNH7qgANMZCIQ26S44JCUxbi42I2dNEKgAABxTSURBVD0d+auo0JGgjPR1daGjior0hXU48EPCFzRYbXBqKjZ4PoxBzgLeeEPXD/LyQo/wuXOoR78fU9/Vxf8rKnQD6NCQ/vnICDLtdOJqZGfz+KlT3Lbh4dBbJTwVTz01eX006tHRgcwFg+jF/Py5fkc3DHb7+K6eta6ybJleXtrdjcvj95NfePVVdODICCYkKUlTkJ48yeP5+cjQlSs02XZ1hTbTSqOylX506dJ53Oi9YYOmZxDk5+OTSVfiCy/Q1lZbS1EsLY2k+by9KEDYQqw4cwb95nIhPzU1FFGGh5HT3Fzs+oULPHfrVj2Gt3kzv3vkCN8LH93mzdqVXbUqNhM4Ss2nJM7KlbSTP/ccjkN/vzb6Nhsp4KslQJYtg2/hvfc4SMuW6Q0JwSDBkLW6HAjoqrloMHm8uZnvp+vh/frXurolvCdZWbQrTxdC2V1YqDdH3Hcf1dfhYd1fNl+wfDnBbvjK8cmcwba20NXwvb1Q73/961i6pKTZ3Ygh2z3CYZW7xYuxoE6nljHr2uSpwunE2oYntVJSopvJK9owMhLJz2Kz6a1JSiFzmzcr9d3volv8fjyWhgaClal2kEhCLxz79hGJ9vZG/qy1lXP/3HOapPz8eTx+OfPNzXhjH/kIn+XHP8ZbO3GCf7OziXx9PpyKhATKbHJOLl5U6uc/J2nldJL8TksLnUeR1QPhyMvj963IyiIZf/fdDNELAW9SEhZYKSKRv/zLqV23+QqxEUrhqRQU4JWsXs29SU7WDKO/+50mJx4bowwfH881XmA8Eh/+sPajhXg4PH+VlERt6OWXdTfC7t26k2e61GrzDnY7uuf99wk8fD488d7eUDvS0YG+6+zUJAQPPhg5O9beHmqDPR78oWeeidzqt8Bx/DgkxYK2NgLlggLkuaFBj8HY7Rz7pib+zcnhcvb3a+4Rv19zUsutS07WTXdpaZHNkXFxMT4+VVcH75r4Xfv3UxSxzlbOYyxfrulEBfHx1EO8XtzDzEyGCt56C3dYaP5EtjweQpNLl0jsZWaStGlt5ZinpWFiurvRudZOCqX4W4mJhCaDgzz/85+/YZfgxmPjRvTkwYO6w7mrK3Ss1OejveRLX5q79zkHGC+ZIrxbSiErP/oRdnnPHi5bUREys3w5ciedhxUVLHeNiyM329iIPC5bFnvcNxNh/iRxlOIg/NVf8X+PhwBEDshEPdThWLOGr3AI01tKSqgV83rRWDLP2NxMsCRBx9KleILXsq68qyvUORecPTu9JM7wMBXrw4dJBhQWMuIh10QIWGMZwSDezKFDOInl5bBGPvww3QmDg1iJO++cPLFmDUwFfj8lrU2bZvczKEVgn5UV6SlZOYmOHyeRs3gxQX1/v25bvxYnt7QUY/Lmm3p2wG5ndMuQFE8dK1fqUpIVq1Zp79fjoUwQDOp7KwTsYrynkjgbG4tMGCmFDMTF8T6kU1BQWEiAZd0y19rK87Zu1ffaOuIlryF/S1gyZe/slSu8l95enpOZScRQV4cldTiQoz/8gcezsmAzHE8Pf+hDJGqsY7CyDjY7m+Ctrg5Zr6iIwXUUs4iiIs02mp2tx2+zs3U0Vl9P//of/sDzrbP3p05NfRBcCLvnAYSI+GrcM+XliJ+Yj1it1s06BgZoCenvxz61tvJYYiJZgMREzvfp0+gHGXF/4QUKJKInm5vRBWfPkl2T0vzYGInnLVvm7jNGIcIJuvv76Y6or+eyd3SEkg8rxffZ2ci014trKmubExJQv4mJ/JueTtAkufdbbkGdW+ti27fHuEp+443QwlkgwGOLF2tSfEmGV1Uhxw0NXKR50BWxfDnNmu+/jxykpTEe+uqrJHcCATodHnuMhu/aWo7u++/r1xgZ0U24RUX8XksLYUV7O2Zp0yZMjyyzs1KQFhSQWJfRvqqqBdBUG74t92/+JvI5bW26BWWBoKoqtNFcKUJy6/S2240sZmSE7iJKTMRE3HEHbrm1s6u0dHKGgljF/EriWJGaen1dK+GIj0dLlZURzEiPdUYGTrCkll94IXRta3092VTp6JkK4uIiU9VKTb9a+uabrLST4LGhASfrJz+ZN0652ruX8bP6epJW+/fTnfDf/7tS3/wmCY7U1Egeh9FR0rknTnAt3O7xVyJLEi4YxHOqrcWwb9oU2sHU24vVKiiYXn+xzYY1e+453cVQWRlKWixy0d2Nsyuy+JvfMDYz1UjDbifLX1pKRSAxkU6M69l4thCRk8P2u7/9W7wVh4N79swz+jmvvcb5c7nweBwOvi8sRE6OHw/dqjQRXC7ulxByCKSV4J57QtdIyC7Q3/0u8nVGRjTnhFL63+5uXWZLTdWJHOkSy8riOe3tnDXh0jp5klKcdLplZcG5cjUUFcF/c+oUfzOcLN7pNKMUE2HXLmShtxdZkqKCzYZe8vvpYujpIQhuacHLEacw3DkMBnmNhAStR4aGGEo/c4bnb9lCeWu+2I6rwGYzk6VXRWsruuHiRWQuLk53j8bFoQtaWjjbwgGmFM+RxG9NDcWmS5c0p05lpR5ZvpZCWAygp0dP4a5ade2T2V4vKlhqNyMjvJ7fz+U8eJDXTkriWEuuffFiXatav576VGYmtyg/nyPe2oq7u3kzrqt0nZWVQXh7+DB/b9WqedCwMh7vWlcX3Tmyvml4GP+qo0PzwykFacsTT8R8EfS228gnDAwgCwcOUMsRtLdjRr7yFeSnvz+Ua0RqO9u34xJLd4SMrMoCxZUrSYxXVvJ3hCt/61Zj4lVubuTmvszMBZXAUYpcaSCAjvH7SeBMFD5XVRHqWdeRZ2UhT/Ol0+ZqmL9JnNnA/fdDt75lC8o8MZHgTZyS3t7xDUJd3bUlcZKTkdwTJ/RjNtv0STv37498XxcukC6vqprea0YTjh1jlE7m8tPSCGAaGtiI86Uvjb/NRikqLVYOmr4+LJa1wpKSorkgwkmHDx+m06q1lcfb23E27XYs49atvC+3m+B7KoFPQQFp5vZ2OrnC+/bXrdPDnxKsp6Xx2OHD11atTEuDC+VjH5v67xhE4mMfYz7jgw8IWjZuDC3zS5dKVxcWZ2yM0md5OQmYybazXL6MbAkP0wMP4GB2dvLzkhJKD0rxWs88Q3LP6cTLjo+P3B61aBEJz5ERvKu+PriWnn+ecS3Z9idjl4EAz+nooIyWnIyHlpPDa0sC1Lq79lqQkjK7Y4rzFenpeNbnzxNoLFvG/bp0ieLBP/+zZjwdGiL5Vlioy5xWgveLF0n2dXVxf2+/HZn+zW/wtoeG8PJ7e5FxGdOaDGNjBOdeL7IZLocG8wPS+SWJGyFbEWbJVasoqoWv+1JKJwvffhs9k5eH/Pr9er19auo8yBZoXL5Mw5E0wL7/PpNlU3XHTp/Gtenqwo1LTaWe6Pfr3K1sahka4u8MDvKc/Hxci7q60PW8//iP3LarNdwVFvJe5w1KSkK7VJXiIl6+rAnj4+K4MD/7GTZbcPkyxcJr8e+jFNaGfJm6taKjg6877iAfW1LC8XS5UO12O0fc59Putuxp8Pl47Y9/XOdib7uNL4M/YvduRtKlKGu3a79uAcFmg/rHutFsIqSlQUj8zjvIZkkJda2FksBRyiRxrg2LFpG0qa0lQKqoCJWWhAQeF5a49nac16EhpX74QxR+QgKB2D33TD4+8dBDOEbWVLXVeFwLwncDKsX77umZ3utFE3p76TLy+/XKbAkyEhMJUIVY0eUKHecIBiNZtOLiKCEsW8b9KyoimHG5KD8cOhT6/JYWeDmysngth4NgOC2NrqzXXtNOam6uUp/85OQdOt3dJAolQM/OZizM2he4YQNOx4EDaLysLKylUnhmpuV8blBZqe+Dx0NiLycH+fN6Of+ytmFsDFlZtgyZk98Lx6VLrN+W/vW6OgLvr3wF2XM6dR+zIDU1kph8xw4CfdEFxcW8l5MnNUNcTQ3yKisjRkc5I243o1GHD5NUdDj4KijgfUnXR3n5+HxOBrMLlyt03bdsrDp/HhkMBnVyeXiY5Nv69STNRE6GhkgMSlQ5MIBeTU3lderqdFVaKV7nakmcgQGSSKLLHA6S0zG6mtxgEqSnI08nTiB/NhvFrfJy/l9erknd8/KQDYeDRLdsThN/xO1GPhsayDysXEkwI9Gfx0PC5/JldN/OnTHHLr13b+j2s2CQCZ5167S7cOkS02W5uVwiSaz4fNrlSUvTXA8DA6j10lJ9VOPjeay2lt/Pz8cVamrCtRBcvoz7smPHgmmw07jrLpIzkoBMSMDH+u539WNZWciz1xv5++F8bvMA4zX922zIU0oKbAz19SR7ZGpy0yaCaK9Xh0GFhbgJfj91Ltl2ZTAOFi3Si1PGxrCTMabX5gJ5eQwQLFSYJM61Ii5uYic0Pp4Aa98+KtkeD9YxGNTrzvPz0Wj9/azlnQhnzuCA5+XxmuG9tsEgnsDhwwRba9ZgjMZrOd69m24cK4qL58U8r6qv19W7Cxd0EDk0hFLs74eRrbWVwCMtjcBl0yau13hITaVkEA7r+l5BXR1BlHheY2O8j3XrSMAJH0BXF9buxAml/vzPIxNyBw5wP195heeVlGjn9pVXSORYcfvtuifa6nXF9IqIeYDLl2FdO3SIAMTj4aw5HJrlLzubZF1GBvf6kUdCRwyseP/9SJk7epQS1rX03xcWKvXkk3QKeb3ooj/8gZ/Z7XpbTGsrDmtyMslI6WxbuzZ0c19SEg6GyxVaPp5H1fKYxQcfEOnJ6KiU4h0OPRZcXBza2VlbGxpV+v3c+xMnCK4vXUJORNfU1ZFEnIxr7t13dQJHKXTjK69oThTBhQskD1tbkdO77jLefizizjtJ5vzoR8iJrEoaHuYeC/bsQXdkZnK/PR50YVmZ3o2dnIyfVVxMp6vA7ycxKJxdbW3I4pe/HFO2b7yGxYEBjmpSEjlYK9lsZSVBsN2uXRlBZiZfYlYCAf7f0BDqlgwP0wg1OopblJqq3cWEhOk3UcY8cnMh5K+pwZ+qrFTql78MfY6MQss6LiusBbZ5gptuwiRYGR1WrdJHTCbGx6s9JSZSg37pJUyK3Y6pMbn7KSA9fWotKAYGf4RJ4sw07rwTx+L0aYJ+nw/rae2GkX7W/HyC/fBg7M03oYEPBDAcJ07QwWFlZdq3j2qU4MgRrPOjj0a+p927SZm/+65eS7Br1/Q7e6IJQlaweDHX+8QJvfe1tJSAd2wMR7Gnh3sj7H2jo1z/8JXeE/U05+cTBIkHFQwSqJeV6bnVsTGSNzU1lNFycnhsdJTfFWfgr/5K95yePs2Y1vHjlNSUwqPr79ddN+HIysKqitOrFB7ZfFgNH0sYHOQe+P38/0c/4vuuLt1DLEm5zEzNKrl4Mc7jF77A6NVEsG4lE4yN6Yrgyy8jbzk5yLKVqDgceXmMYimFhzY4yGuFd+qNjCDj0jUkPDxW2bfZkD/rWvVNm24M+bfB5BCZyclBTwhHWyCAk1hcjD2wcn9Z5+6bmqguBwLoo+Zm3fWVkaF3yP7853jxa9bohLMV1s4dgddLpCndY729dB6KDDY3E0A984zZkBeL2LIFeTh9WmcLhAE1EMD+pqbSgZiTgxw+8wydNytXhpL6p6Qwwm5FTU0kcfvQELZzJjkQZxklJZGTZVlZBMCNjZHbgmpqUPMrV3KEZcLVitJS3Lo9e/hezMr772uqrGCQ22Kz6XpXfDyvu6AnHV0uvTt9aIik9erVWt5cLvy/++/H9xa43TEld1PF0qXUDQ8cwE1Yvnxq07OCNWswDVeuYDLm2+JbA4NogUnizDRsNrRWUREGQLgvlEIbtrRQSpEB1IMHoYaX4dDhYSpNly9jpVNTaTl+553QJI5wVlhx+jRBWjgRls0Gcei99+rq6ZIl86NvtqKC4LStDUdwyRKSNXfeSdAh40/WYPjyZRI1Z87QFeNw4ATabCRNdu0a/2+5XAyDv/ii9oQWLyYoUorS1/nz3OdgkGC4qQmPS6rgQgD7m9/oTqzqat5fT4/uQ5XkX3PzxB1Tjz7Kz+rqkJOtWyNHawxmDy0tjDoND+OtvPWW5h0RL3lkRO9tTUwkoHa5+B2fTwevp06RcAwESMZIIrGiAhmwIjOT4Ojb39bMgW431e7+fr3ZaTLk5fF+pEdayIvT0vRaEtEP27YRUN17LyViiR6WLFHq05/mc8raCYO5R2UltiA+Hm+6pwdZW7SIwDk/n3tl1f8VFdzzxkadNJage2SExPfAALJYVoYOzcwkOqyuVuq++0L5dZTib4XLrtsdukFPyKytGBkhuDcJwdiFJLWtnVh1dXpDn8wC+f3oof5+fKG77tLzF2VlkeQG423mm+zxKMXu3bgGkshxuzlCNhumZDwIMWxqKkfjgw/0zxISIJXNzOQ5Q0Nc1sFBJjSsxz0hARdVdiXIOnFz3P4IIepXig5U6XYuKoL7pqiIjFpSEpmycM7CeYLy8uur88bFLYANUwYGcwyTxJkNFBXpDS9DQxgBn08H9omJPO/sWYzAu+/yb2oqXTjWbozGRhIDly4R2I23/nwqsNlIr49XMY1l2O2MS73/PoFFTg7eTHo63UlxcaHU5UqFJrmcTviJ7rlnan9v5UosU0MDnQp+P4H8yZM6ESPrVGUDkHQrjIzoAMa6G9Rm089JTw91fEdHSfKNB4eDxM10Ca8Nrg9vvEEyZmSEMzo6SpImGCQAlnMv+1sTE3ksPR05LSzkvAcCerRJKWRrYAAve8cOkkXnz/Oz1FS2l/37v4fO4vt8mth69+6rM7ulpuKQNjXxu21tmjRhyxac17g4CL2F1HvtWhLJ9fU4sOXlZudyNGLtWu7r0aOaTH1wkHubkcH3W7aEJnGcThJy3/8+Ed/gIDLo8ehkn3AhNTaS1LOubHr7baJA62vecosmNRbs2hW64txgfqGvj62X0v3V309nTUYGCT3ZuulykdQpKgqVo+rqyQnOKyvROfX1vJ503T7xxOx+rhlGRga8ImI2Kiu1W5iXN/7vWB+/5x7qR7W1HMVNm7RrYbfrJjaXC3dlaIjmb6U4wnffTdKooYHEz7ZtC7wTxwqXi4S0dJBZixlKhdpEpbD/v/89CWmXi5tx223GNhpEJ2QjrxSuq6rgHFtIbMDzCCaJMxtYu1ZvKJLZ//h4gqWkJKxlVpa2rIWFdOekppKsSUykzVyC+ZERXu/FF+n6yMjg4L3xRujfXbVqwa2jU0pRWtq9O/LxlSupMJ86haPY04PSEt6OVaum1z2QkBBqxCsrSSDFxfGvBE1y74eHUZBut17da63ebNhAZcfl4n06HDinxcUQypqV39GJ1lb+7e3lnsvZczh0d0EgwPcuF+c/Lg5dIN1VIyNKvf565Gvv308Q7HLBz9Tdjb4oKMAId3REdjB4PPzM75+aQd61i7EG4S5JS+NMrFkz8e+nps6PjXbzGTYbbf+33opM5OURHB89SgC9du34id+MDLqtLlzADjmdPL+/H92VkaGLEdnZBNFSqh0YQO6s9icrC66S6moSOcuXR3LdrF4NF5hVluPiDLdSrGL/fp3AUYoMw+Cg7k7MzaVzT2zj6OjEfGDjISWFQtS+fciM08ljR47E3Hi4LA8MR1kZ7oV1Q1BpaeiRkGnW8X7fCutRKi3Vi+ruvpspoHk4CTQzuOMOii2SmNm8eeId2C+9pDti/X7sqctluE0MohN79oQuaDlwgJhkKh3cBlEHk8SZDTidWMe2Nqrowp0SDBIAWRnkRkY0CaBSOMvLl2MIBPHxWOBAgGB/2zYq9KOjVN79fpzhu+++oR8z6pGQoNR//s90ylRXEwQXFhJAr149MbHxtaKhgYRLIKC5kKR643QSHNtsvJ+UFMZQrDwoy5cr9fDDPOfwYRzdZcvoKDL3NHpRUEApVDoLZMzJ4eC8j47q5F16uh4jsG6Fc7sjyQ2UQlatnCXCnyS/k5amA2lBYiKydS2dDgUFSj3++NSfbxA7SEnRTJRT5Stas0bPeCQlaVn1+4n+XC7+7e5GxgXFxeMXEJKTJ48U09MhX3jtNexlYSHOpLQlGMQWpN3Divx8EocHDuDLeL0kjR0OiixW7qN1667+N3p7SUIOD6PrHA78ouFhvSM5xvH445pWLy8PF2G6hfIHH+Ronj5NXnXz5mvjN1mQkG7Fq2369PlCu6oFx4+bJI5BdCJ8I69SxEcmiROTMEmc2UJJCQagt5fAzm6nwrl0Kc6vtJhnZODkSi/s5s20wq9di9W12aheys4/cVLsdjYU3X77jf9ssYSCAqX+4i9m92/ExWka/m3baMOVqnRcHB6Y14szW15O+Sycd2fDBr4CARxc2WplEL3YvVuTtwqHzJ134n3b7dzvkydJtsTFIRMtLaEsf7t381g4k6WMDYwHm41RqO5u5K6jg+fu2MFaCAOD6SI+HnL0U6forsnN1eOCmZkkCYVsX+YvUlM1YfZ0UFam1FNPzcz7N5hbFBeHbqJSiqTz7bcz/tnfj21LTqbDtLiYBIzbje8z2SiVwGZD31nto802Pzj+/gibjTrOsmXX/1rx8SxAfOSR638tgzDMI5kzWMAwchyzMEmc2cKOHQRzSul1Atu3E/Rt3Mic+NKllFysxLVCpGYdcRBC45QU02YejbjpJj0Sk5/PSMKiRdzH7m66caqqcFLj4yffumK3G3LiWEF+PsQGp0+TjJHNO48/TslzYADumvPndev/tm0wTQoRQn4+v+fx6OCnpCRyK0s41qyBC0K2wKxYcW1jCQYGE2HbtkgesdtvJwCXrrEHHuAxpxP7ZObpDZRCds6d0x05kthOT2cT33vv8bOiInyk6RQqqqpCOcSUQv8ZriWDGw2Xi67uEydCHzcjxwbRiqoqSOTDHzOISZgkzmwhKUmpL31JbysqL6frZmCAtvGcnImZ5Nat4+tjH4MwsrWVNvNbbzWOSjRixw4qidXVJG7Wr48kDjWYn0hMjNzKY0VREdxVDQ3ogI9+NHQ0Sl7jU5+iay8QiPz5RMjP58vAYCaxcye8JUeOII9r18IRMTgIoWxKiiG1NhgfCQlKPf00Y6b9/drvUYqC1L33Xv/f2LqVxPWhQ3Qirl5tRgEM5g7334//d+oUSe1Nm8y8mkH04o47iE2sxMayHdkg5mCSOLMJhyOyc0ZaiaeC7Gw20RhEN6Y6P22w8LBy5dS756xjVgYGcwW7nc6ycLL49PRQLi8Dg/HgcExMAjsTsNlINBrOEYNogNtNIudq3bMGBtEApxOuTcO3OS9gSmkGBgYGBgYGBgYGBgYGBgYGMQCTxDEwMDAwMDAwMDAwMDAwMDCIAZgkjoGBgYGBgYGBgYGBgYGBgUEMwBYMBqf+ZJutQyl1afbejoHBuJC1O0b2DG40FgeDwRyj+wzmCEb+DOYSxvYazBWM7jOYSxj5M5hLLA4GgzlXe9I1JXEMDAwMDAwMDAwMDAwMDAwMDOYGZpzKwMDAwMDAwMDAwMDAwMDAIAZgkjgGBgYGBgYGBgYGBgYGBgYGMQCTxDEwMDAwMDAwMDAwMDAwMDCIAZgkjoGBgYGBgYGBgYGBgYGBgUEMwCRxDAwMDAwMDAwMDAwMDAwMDGIAJoljYGBgYGBgYGBgYGBgYGBgEAMwSRwDAwMDAwMDAwMDAwMDAwODGIBJ4hgYGBgYGBgYGBgYGBgYGBjEAEwSx8DAwMDAwMDAwMDAwMDAwCAG8P8AM0v2jqltb/gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x720 with 7 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from viz.plots import multi_feature_plt\n",
    "\n",
    "multi_feature_plt(feature_history[::2], targets)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualize ODE trajectories\n",
    "We can also visualize how the trained model maps inputs to features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from viz.plots import trajectory_plt\n",
    "\n",
    "# To make the plot clearer, we will use a smaller batch of data\n",
    "for small_inputs, small_targets in dataloader:\n",
    "    break\n",
    "\n",
    "trajectory_plt(model, small_inputs, small_targets, timesteps=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualize generalization\n",
    "To see how well the model generalizes we can plot how every point in the input space gets mapped to an output. If a point gets mapped to +1 it will be red, if it gets mapped to -1 it will be blue. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from viz.plots import input_space_plt\n",
    "\n",
    "input_space_plt(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Losses and number of function evaluations\n",
    "\n",
    "Finally we can visualize how the loss and the number of function evaluations (which is proportional to how long a forward pass takes) change during training."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Loss')"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(trainer.histories['loss_history'])\n",
    "plt.xlim(0, len(trainer.histories['loss_history']) - 1)\n",
    "plt.ylim(0)\n",
    "plt.xlabel('Iterations')\n",
    "plt.ylabel('Loss')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'NFEs')"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(trainer.histories['nfe_history'])\n",
    "plt.xlim(0, len(trainer.histories['nfe_history']) - 1)\n",
    "plt.ylim(0)\n",
    "plt.xlabel('Iterations')\n",
    "plt.ylabel('NFEs')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train an Augmented Neural ODE\n",
    "\n",
    "As can be seen, the Neural ODE model eventually learns to approximate the function, but does so at the cost of poor generalization and increased computational cost. We will now train an Augmented Neural ODE with one augmented dimension to attempt to mitigate these problems."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Add 1 augmented dimension\n",
    "anode = ODENet(device, data_dim, hidden_dim, augment_dim=1,\n",
    "               time_dependent=True, non_linearity='relu')\n",
    "\n",
    "optimizer_anode = torch.optim.Adam(anode.parameters(), lr=1e-3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.549\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.476\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.443\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.460\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.459\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.482\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.433\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.377\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.334\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.350\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.175\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.319\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.218\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.160\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.158\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.079\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.050\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.121\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.032\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.023\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.020\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.017\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.018\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.020\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.018\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.012\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.009\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.014\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.008\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.011\n",
      "\n",
      "Iteration 0/47\n",
      "Loss: 0.008\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 10/47\n",
      "Loss: 0.009\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 20/47\n",
      "Loss: 0.008\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 30/47\n",
      "Loss: 0.008\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "\n",
      "Iteration 40/47\n",
      "Loss: 0.008\n",
      "NFE: 20\n",
      "BNFE: 0\n",
      "Total NFE: 20\n",
      "Epoch 1: 0.008\n"
     ]
    }
   ],
   "source": [
    "# Set up trainer\n",
    "trainer_anode = Trainer(anode, optimizer_anode, device)\n",
    "num_epochs = 6\n",
    "\n",
    "# Optionally record how the features evolve during training\n",
    "visualize_features = True\n",
    "\n",
    "if visualize_features:\n",
    "    feature_history = get_feature_history(trainer_anode, dataloader, \n",
    "                                          inputs, targets, num_epochs)\n",
    "else:\n",
    "    # If we don't record feature evolution, simply train model\n",
    "    trainer_anode.train(dataloader, num_epochs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualize feature evolution\n",
    "As can be seen, the model lifts out the disk from the surrouding annulus by going into the augmented dimension."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 7 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from viz.plots import multi_feature_plt\n",
    "\n",
    "multi_feature_plt(feature_history, targets)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualize ODE trajectories\n",
    "\n",
    "We can visualize how the augmented model maps inputs to features."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from viz.plots import trajectory_plt\n",
    "\n",
    "trajectory_plt(anode, small_inputs, small_targets, timesteps=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualize generalization\n",
    "As can be seen, the model generalizes well and has captured the shape of the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from viz.plots import input_space_plt\n",
    "\n",
    "input_space_plt(anode)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualize losses and NFEs\n",
    "\n",
    "As can be seen, the Augmented Neural ODE model achieves low losses and low NFEs. This suggests it has learned to model the data with a simple flow that is easy to compute."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Loss')"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(trainer_anode.histories['loss_history'])\n",
    "plt.xlim(0, len(trainer_anode.histories['loss_history']) - 1)\n",
    "plt.ylim(0)\n",
    "plt.xlabel('Iterations')\n",
    "plt.ylabel('Loss')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'NFEs')"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEKCAYAAAAB0GKPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAFZpJREFUeJzt3XuwXWWd5vHvI0FEjBDkiNwCiojtjYinQbuxJ7ZCA8U0ajsIY01jqxW1tdtLdyk6U+rY09PYjjoXLKmojDhF4x2kphFI9eiAd5J0uKOkaRgSYxKMEhBvgd/8cVbs7WGfnDfJ2Xufc/L9VJ3aa73rXWv/lrvI43rX3u9KVSFJ0nQeNeoCJElzg4EhSWpiYEiSmhgYkqQmBoYkqYmBIUlqMrDASHJEkq8muTXJLUne0rUfmGRFkju610VT7H9u1+eOJOcOqk5JUpsM6ncYSQ4BDqmq1UkWAquAlwKvBrZU1flJzgMWVdU7J+17ILASGAeq2/d5VfXjgRQrSZrWwK4wqmpDVa3ulu8HbgMOA84ELu66XcxEiEz2B8CKqtrShcQK4NRB1SpJmt6CYbxJkqOA5wLfAQ6uqg3dph8CB/fZ5TDgnp71dV3bDu278IB66tFPYZ8FM5eDv3zoYTZu/Tk/efBXM3ZMSZotfvnDtfdW1VhL34EHRpLHAV8E3lpVW5P8eltVVZLdGhNLsgxYBrDPk57Kz07/T7zsxMX8+YuP4aDH7bPLx/3Jg7/ko19dy8XfvJv9A3964mIOX/TY3SlVkmad173wKXe39h1oYCTZm4mwuKSqvtQ1b0xySFVt6O5zbOqz63pgac/64cDX+r1HVS0HlgMsOf55dcYJR3DJd/4fX1y1jtf/q6N53QufzGMf3X6aP//VQ1z8zbv46FfXcv8vtvFHxx/O209+GocesG/zMSRprnjdTvQd5E3vMHGPYktVvbWn/YPAj3pueh9YVe+YtO+BTNzoPr5rWs3ETe8tO3rP8fHxWrlyJf+0+QH+9qrbufqWjYwt3Ie3veRpnDV+OAv2mnqo6qGHi8v/cT0fXvF91v/kZyw9dox3nvp0fuuQx+/S+UvSXJBkVVWNN/UdYGCcBFwH3AQ83DW/m4n7GJ8DFgN3A2dV1ZYk48Abqup13f6v6foD/HVV/c/p3nN7YGy36u4t/M2Vt7Py7h9z9Nh+vPPUp3PyMw5m0rAY195xL+d/5XZu27CVZx+2P+867en8zlMP2t3/CSRp1psVgTEKkwMDJgLhmls38oGrbufOzT9l/MhFvOv03+J5Ry7i5vX38TdfuY1vrP0RRxy4L395yrH86+ccyqMelSneQZLmFwOjj20PPcxnV97DR1bcwb0P/IJnH7Y/N62/j0WP3Zs/+/1jeNXzF7PPgr2GXLEkjdbOBMZQvlY7GyzY61G86sQjeemSw/jEdf/M5WvW86dLj+YNS4/m8Y/Ze9TlSdKst8dcYUiSHmlnrjCcfFCS1MTAkCQ1MTAkSU0MDElSEwNDktTEwJAkNTEwJElNDAxJUhMDQ5LUxMCQJDUxMCRJTQwMSVITA0OS1MTAkCQ1MTAkSU0G9gClJBcBZwCbqupZXdtngWO7LgcAP6mqJX32vQu4H3gI2NY6V7skaXAG+cS9TwEXAJ/e3lBVr9y+nORDwH072P9FVXXvwKqTJO2UgQVGVV2b5Kh+25IEOAv4/UG9vyRpZo3qHsYLgY1VdccU2wu4JsmqJMuGWJckaQqDHJLakXOAS3ew/aSqWp/kicCKJLdX1bX9OnaBsgxg8eLFM1+pJAkYwRVGkgXAy4HPTtWnqtZ3r5uAy4ATdtB3eVWNV9X42NjYTJcrSeqMYkjqJcDtVbWu38Yk+yVZuH0ZOAW4eYj1SZL6GFhgJLkU+BZwbJJ1SV7bbTqbScNRSQ5NcmW3ejDw9SQ3AN8F/r6qrhpUnZKkNoP8ltQ5U7S/uk/bD4DTu+U7geMGVZckadf4S29JUhMDQ5LUxMCQJDUxMCRJTQwMSVITA0OS1MTAkCQ1MTAkSU0MDElSEwNDktTEwJAkNTEwJElNDAxJUhMDQ5LUxMCQJDUxMCRJTQwMSVITA0OS1GSQz/S+KMmmJDf3tL0vyfoka7q/06fY99Qk30uyNsl5g6pRktRukFcYnwJO7dP+kapa0v1dOXljkr2AjwKnAc8AzknyjAHWKUlqMLDAqKprgS27sOsJwNqqurOqfgl8BjhzRouTJO20UdzDeHOSG7shq0V9th8G3NOzvq5rkySN0LAD42PA0cASYAPwod09YJJlSVYmWbl58+bdPZwkaQpDDYyq2lhVD1XVw8DHmRh+mmw9cETP+uFd21THXF5V41U1PjY2NrMFS5J+baiBkeSQntWXATf36XY9cEySJyd5NHA2cMUw6pMkTW3BoA6c5FJgKXBQknXAe4GlSZYABdwFvL7reyjwiao6vaq2JXkzcDWwF3BRVd0yqDolSW1SVaOuYcaMj4/XypUrR12GJM0ZSVZV1XhLX3/pLUlqYmBIkpoYGJKkJgaGJKmJgSFJamJgSJKaGBiSpCYGhiSpiYEhSWpiYEiSmhgYkqQmBoYkqYmBIUlqYmBIkpoYGJKkJgaGJKmJgSFJamJgSJKaGBiSpCYDC4wkFyXZlOTmnrYPJrk9yY1JLktywBT73pXkpiRrkviQbkmaBQZ5hfEp4NRJbSuAZ1XVc4DvA+/awf4vqqolrQ8nlyQN1sACo6quBbZMarumqrZ1q98GDh/U+0uSZtYo72G8BvjKFNsKuCbJqiTLdnSQJMuSrEyycvPmzTNepCRpwkgCI8m/B7YBl0zR5aSqOh44DXhTkt+b6lhVtbyqxqtqfGxsbADVSpJgBIGR5NXAGcCrqqr69amq9d3rJuAy4IShFShJ6muogZHkVOAdwB9W1YNT9NkvycLty8ApwM39+kqShmeQX6u9FPgWcGySdUleC1wALARWdF+ZvbDre2iSK7tdDwa+nuQG4LvA31fVVYOqU5LUZsGgDlxV5/Rp/uQUfX8AnN4t3wkcN6i6JEm7xl96S5KaGBiSpCYGhiSpiYEhSWpiYEiSmhgYkqQmBoYkqYmBIUlqYmBIkpoYGJKkJgaGJKnJTgdGkkVJnjOIYiRJs1dTYCT5WpLHJzkQWA18PMmHB1uaJGk2ab3C2L+qtgIvBz5dVScCLxlcWZKk2aY1MBYkOQQ4C/jfA6xHkjRLtQbG+4GrgbVVdX2SpwB3DK4sSdJs0/QApar6PPD5nvU7gT8aVFGSpNlnh1cYST7Xs/yBSduuGVRRkqTZZ7ohqWN6lk+etG1suoMnuSjJpiQ397QdmGRFkju610VT7Htu1+eOJOdO916SpMGaLjBqF7dt9yng1Elt5wH/UFXHAP/Qrf+G7uu77wVOBE4A3jtVsEiShmO6wHhskucmeR6wb7d8/Pb16Q5eVdcCWyY1nwlc3C1fDLy0z65/AKyoqi1V9WNgBY8MHknSEE130/uHwIf7LG9f3xUHV9WGnmMc3KfPYcA9PevrurZHSLIMWAawePHiXSxJkjSdHQZGVS0d5JtXVSVpGdra0TGWA8sBxsfHd+tYkqSpTfctqf/cszz5pveu2tj9CJDudVOfPuuBI3rWD+/aJEkjMt09jN77Bh+YstfOuQLY/q2nc4Ev9+lzNXBKN9HhIuCUrk2SNCIDnd48yaXAt4Bjk6xL8lrgfODkJHcwMR/V+V3f8SSfAKiqLcBfAdd3f+/v2iRJIzLdTe8nJnk7kJ7lX6uqHc5YW1XnTLHpxX36rgRe17N+EXDRNPVJkoZkusD4OLCwz7IkaQ8z3bek/uOwCpEkzW47DIwk79nB5qqqv5rheiRJs9R0Q1I/7dO2H/Ba4AlM3JiWJO0BphuS+tD25SQLgbcAfwJ8BvjQVPtJkuafaZ+H0U0E+HbgVUzM/XR8N7+TJGkPMt09jA8y8Rzv5cCzq+qBoVQlSZp1pvvh3l8AhwL/AfhBkq3d3/1Jtg6+PEnSbDHdPYyB/hJckjR3GAiSpCYGhiSpiYEhSWpiYEiSmhgYkqQmBoYkqYmBIUlqYmBIkpoYGJKkJkMPjCTHJlnT87c1yVsn9Vma5L6ePjt6LockaQimna12plXV94AlAEn2AtYDl/Xpel1VnTHM2iRJUxv1kNSLgX+qqrtHXIckaRqjDoyzgUun2PaCJDck+UqSZ051gCTLkqxMsnLz5s2DqVKSNLrASPJo4A+Bz/fZvBo4sqqOA/4HcPlUx6mq5VU1XlXjY2NjgylWkjTSK4zTgNVVtXHyhqrauv1hTVV1JbB3koOGXaAk6V+MMjDOYYrhqCRPSpJu+QQm6vzREGuTJE0y9G9JASTZDzgZeH1P2xsAqupC4BXAG5NsA34GnF1VNYpaJUkTRhIYVfVT4AmT2i7sWb4AuGDYdUmSpjbqb0lJkuYIA0OS1MTAkCQ1MTAkSU0MDElSEwNDktTEwJAkNTEwJElNDAxJUhMDQ5LUxMCQJDUxMCRJTQwMSVITA0OS1MTAkCQ1MTAkSU0MDElSEwNDktRkZIGR5K4kNyVZk2Rln+1J8t+TrE1yY5LjR1GnJGnCSJ7p3eNFVXXvFNtOA47p/k4EPta9SpJGYDYPSZ0JfLomfBs4IMkhoy5KkvZUowyMAq5JsirJsj7bDwPu6Vlf17VJkkZglENSJ1XV+iRPBFYkub2qrt3Zg3Rhswxg8eLFM12jJKkzsiuMqlrfvW4CLgNOmNRlPXBEz/rhXdvk4yyvqvGqGh8bGxtUuZK0xxtJYCTZL8nC7cvAKcDNk7pdAfxx922p5wP3VdWGIZcqSeqMakjqYOCyJNtr+LuquirJGwCq6kLgSuB0YC3wIPAnI6pVksSIAqOq7gSO69N+Yc9yAW8aZl2SpKnN5q/VSpJmEQNDktTEwJAkNTEwJElNDAxJUhMDQ5LUxMCQJDUxMCRJTQwMSVITA0OS1MTAkCQ1MTAkSU0MDElSEwNDktTEwJAkNTEwJElNDAxJUhMDQ5LUZOiBkeSIJF9NcmuSW5K8pU+fpUnuS7Km+3vPsOuUJP2mUTzTexvwF1W1OslCYFWSFVV166R+11XVGSOoT5LUx9CvMKpqQ1Wt7pbvB24DDht2HZKknTPSexhJjgKeC3ynz+YXJLkhyVeSPHOohUmSHmEUQ1IAJHkc8EXgrVW1ddLm1cCRVfVAktOBy4FjpjjOMmAZwOLFiwdYsSTt2UZyhZFkbybC4pKq+tLk7VW1taoe6JavBPZOclC/Y1XV8qoar6rxsbGxgdYtSXuyUXxLKsAngduq6sNT9HlS148kJzBR54+GV6UkabJRDEn9LvDvgJuSrOna3g0sBqiqC4FXAG9Msg34GXB2VdUIapUkdYYeGFX1dSDT9LkAuGA4FUmSWvhLb0lSEwNDktTEwJAkNTEwJElNDAxJUhMDQ5LUxMCQJDUxMCRJTQwMSVITA0OS1MTAkCQ1MTAkSU0MDElSEwNDktTEwJAkNTEwJElNDAxJUhMDQ5LUZCSBkeTUJN9LsjbJeX2275Pks9327yQ5avhVSpJ6DT0wkuwFfBQ4DXgGcE6SZ0zq9lrgx1X1VOAjwAeGW6UkabJRXGGcAKytqjur6pfAZ4AzJ/U5E7i4W/4C8OIkGWKNkqRJRhEYhwH39Kyv69r69qmqbcB9wBOGUp0kqa8Foy5gdyVZBizrVn+R5OZR1jNEBwH3jrqIIfJ85zfPd3SObO04isBYDxzRs35419avz7okC4D9gR/1O1hVLQeWAyRZWVXjM17xLLQnnSt4vvOd5zs3jGJI6nrgmCRPTvJo4Gzgikl9rgDO7ZZfAfyfqqoh1ihJmmToVxhVtS3Jm4Grgb2Ai6rqliTvB1ZW1RXAJ4H/lWQtsIWJUJEkjdBI7mFU1ZXAlZPa3tOz/HPg3+zCoZfvZmlzyZ50ruD5znee7xwQR3okSS2cGkSS1GReBMZ0U43MN0nuSnJTkjVJVo66npmW5KIkm3q/Ip3kwCQrktzRvS4aZY0zaYrzfV+S9d1nvCbJ6aOscaYkOSLJV5PcmuSWJG/p2ufl57uD852Tn++cH5Lqphr5PnAyEz8CvB44p6puHWlhA5TkLmC8qmbL97hnVJLfAx4APl1Vz+ra/hbYUlXnd/+nYFFVvXOUdc6UKc73fcADVfVfRlnbTEtyCHBIVa1OshBYBbwUeDXz8PPdwfmexRz8fOfDFUbLVCOaQ6rqWia+Hderd7qYi5n4j25emOJ856Wq2lBVq7vl+4HbmJjZYV5+vjs43zlpPgRGy1Qj800B1yRZ1f3SfU9wcFVt6JZ/CBw8ymKG5M1JbuyGrObFEE2vbhbq5wLfYQ/4fCedL8zBz3c+BMae6KSqOp6JGX/f1A1p7DG6H3HO7bHU6X0MOBpYAmwAPjTacmZWkscBXwTeWlVbe7fNx8+3z/nOyc93PgRGy1Qj80pVre9eNwGXMTEsN99t7MaDt48LbxpxPQNVVRur6qGqehj4OPPoM06yNxP/eF5SVV/qmuft59vvfOfq5zsfAqNlqpF5I8l+3c0zkuwHnALsCRMu9k4Xcy7w5RHWMnDb//HsvIx58hl3jyn4JHBbVX24Z9O8/HynOt+5+vnO+W9JAXRfSfuv/MtUI3894pIGJslTmLiqgIlf6v/dfDvfJJcCS5mY0XMj8F7gcuBzwGLgbuCsqpoXN4qnON+lTAxXFHAX8PqeMf45K8lJwHXATcDDXfO7mRjXn3ef7w7O9xzm4Oc7LwJDkjR482FISpI0BAaGJKmJgSFJamJgSJKaGBiSpCYGhtRJ8kD3elSSfzvDx373pPVvzuTxpWEwMKRHOgrYqcBIMt3TK38jMKrqd3ayJmnkDAzpkc4HXtg9p+BtSfZK8sEk13eTxb0eIMnSJNcluQK4tWu7vJsU8pbtE0MmOR/YtzveJV3b9quZdMe+uXvGySt7jv21JF9IcnuSS7pfDZPk/O75CjcmmVPTY2tuG8kzvaVZ7jzgL6vqDIDuH/77quq3k+wDfCPJNV3f44FnVdU/d+uvqaotSfYFrk/yxao6L8mbq2pJn/d6ORO/+D2OiV96X5/k2m7bc4FnAj8AvgH8bpLbmJhK4ulVVUkOmPGzl6bgFYY0vVOAP06yhokpLJ4AHNNt+25PWAD8eZIbgG8zMSnmMezYScCl3UR0G4H/C/x2z7HXdRPUrWFiqOw+4OfAJ5O8HHhwt89OamRgSNML8GdVtaT7e3JVbb/C+OmvOyVLgZcAL6iq44B/BB6zG+/7i57lh4AFVbWNiZlNvwCcAVy1G8eXdoqBIT3S/cDCnvWrgTd201ST5GndTMGT7Q/8uKoeTPJ04Pk92361ff9JrgNe2d0nGQN+D/juVIV1z1XYv6quBN7GxFCWNBTew5Ae6UbgoW5o6VPAf2NiOGh1d+N5M/0fIXoV8IbuPsP3mBiW2m45cGOS1VX1qp72y4AXADcwMXPpO6rqh13g9LMQ+HKSxzBx5fP2XTtFaec5W60kqYlDUpKkJgaGJKmJgSFJamJgSJKaGBiSpCYGhiSpiYEhSWpiYEiSmvx/yoSiE7vNbZ8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(trainer_anode.histories['nfe_history'])\n",
    "plt.xlim(0, len(trainer_anode.histories['nfe_history']) - 1)\n",
    "plt.ylim(0)\n",
    "plt.xlabel('Iterations')\n",
    "plt.ylabel('NFEs')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
